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Find the lowest common multiple (LCM) of 28 and 35.​

2 Answers

1 vote

140

the lcm of two non-zero integers ×(28) and y(35) ,is the smallest posetive integer m(140) that is divisibleby both ×(28)and y(35) Without any remainder

answered
User Daniele Vitali
by
8.6k points
4 votes

Step-by-step explanation: I would first create a factor tree for these numbers and break them down into their prime factorization.

First, 28 is 7 x 4 and 4 is 2 x 2

Next, 35 is 7 x 5

In our factors tree, a 7 is a factor that is shared so we pull out a 7.

Now, we multiply all of our factors that don't pair up

and in this case, that's a 2, another 2, and a 5.

So our LCM is 7 x 2 x 2 x 5 or 140.

answered
User Dedoki
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7.9k points

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