Question

What is the LCM of 20, 30 and 50?

Answer 1

Answer:

300

Step-by-step explanation:

20=2*2*5=2^2 * 5

30=2*3*5

50=2*5*5=2*5^2

Here in these three number

Highest power of 2: 2^2

Highest power of 3: 3

Highest power of 5: 5^2

So LCM of 20,30 and 50 is:

=2^2*3*5^2

=4*3*25

=300

Answer 2

Answer:

The LCM of 20 , 30 and  50  is 300

Step-by-step explanation:

Given :

We are given three integers  20 , 30 , 50

To Find :

Lowest common Multiple of given integers

Solution :

To Find the lowest common multiple of the given integers we have to factorize them

• the factorization of 20 = 2 x 2 x 5
• the factorization of 30 = 2 x 3 x 5
• the factorization of 50 = 2 x 5 x 5

Now we will select max occurrence of the prime numbers

• max occurrence of prime number 2 = 2 times
• max occurrence of prime number 3 = 1 times
• max occurrence of prime number 5 = 2 times

so the LCM = (2x2) x (3) x (5x5)

                   = 4 x 3 x 25

                   =  300

Hence we have calculated the LCM of 20 , 30 and 50 is 300

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