Question

Find the LCM of 20 ,25 and 35. *​

Answer 1

Answer:

700

Step-by-step explanation:

20 = 2 × 5 × 2

25 = 5 × 5

35 = 7 × 5

LCM = 2$^2$ × 5 $^2$ × 7

= 700

Answer 2

★ L.C.M. is refer to the 1st attachment ★

LCM → 2 × 2 × 5 × 5 × 7

→ 4 × 25 × 7

→ 100 × 7

→ 700

Hence, the L.C.M. of 20, 25 & 35 is 700.

Additional Information :–

✏️ L.C.M. stands for Least common multiple.

✏️ It is also known as Lowest common multiples or Smallest common multiples.

✏️ L.C.M. is also a Lowest common denominator (L.C.D.).

✏️ One easiest way to find the least common multiple (L.C.M.) of two numbers is to first, find the prime factors of both first and second number together and then, when you find the prime factors of both the numbers. Then you have to multiply the prime factors of the both numbers. After multiply you get the result, is the least common multiple (L.C.M.) of both numbers.

✒️ Let's understand by one example.

✏️ Let first number be 2 and the second number be 8.

Now, we have to find the prime factors of both the number together.

★ See the 2nd Attachment we get the prime factors ★

Prime factors of 2 and 8 is 2 × 2 × 2.

Now, multiple the prime factors,

→ 2 × 2 × 2

→ 4 × 2

→ 8

So, the least common multiple of 2 and 8 is 8.