Find the L. C.M of 154 and 49.

LCM=1078

Step-by-step explanation:

49=7×7

154=7×11×2

LCM=7×7×11×2

=1078

Step-by-step explanation:

The L.C.M of any numbers can be obtained by using two methods and they are :

I am going to find the L.C.M of 154 and 49 by using these two methods :

1. Prime factorization method:

First of all , find the prime factors of each numbers.

Take out common prime factor i.e 7

Thenafter, also take out the other remaining prime factors : 2 , 11 and 7

L.C.M = Common factors × Remaining factors

= 7 × 2 × 11 × 7

= 1078

------------------------------------------------------------

Next method :

2. Division method

Steps :

⇒ Arranging the given numbers in horizontal position.

⇒Thus, arranged numbers should be divided by a prime number. During this process that prime numbers should divide any two or more given numbers.

⇒Repeat the process till you get prime number as quotient for each number.

⇒The product of all prime factors and last quotients is L.C.M

( see attached picture )

Hope I helped!

Best regards!!

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it