Least Common Multiple of 34, 30, 97, 864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 34, 30, 97, 864 i.e. 7123680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 30, 97, 864 is 7123680.

LCM(34, 30, 97, 864) = 7123680

LCM of 34, 30, 97, 864

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 34,30,97,864

Least Common Multiple (LCM) of 34,30,97,864 is 7123680

2 34, 30, 97, 864
3 17, 15, 97, 432
17, 5, 97, 144

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 97 x 144 = 7123680

Least Common Multiple of 34,30,97,864 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 34,30,97,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,30,97,864) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(34,30,97,864) x common factors =1 x 12 = 12

LCM(34,30,97,864) = ( 34 × 30 × 97 × 864 ) / 12

LCM(34,30,97,864) = 85484160 / 12

LCM(34,30,97,864) = 7123680

∴ Least Common Multiple of 34,30,97,864 is 7123680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 34, 30, 97, 864

1. What is the LCM of 34, 30, 97, 864?

Answer: LCM of 34, 30, 97, 864 is 7123680.

2. What are the Factors of 7123680?

Answer: Factors of 7123680 are . There are integers that are factors of 7123680

3. How to Find the LCM of 34, 30, 97, 864 ?

Least Common Multiple of 34, 30, 97, 864.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(34, 30, 97, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 97 = 7123680.