Least Common Multiple of 85, 64, 34, 700

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 85, 64, 34, 700 i.e. 190400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 85, 64, 34, 700 is 190400.

LCM(85, 64, 34, 700) = 190400

LCM of 85, 64, 34, 700

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

LCM of:

Least Common Multiple of 85,64,34,700

Least Common Multiple (LCM) of 85,64,34,700 is 190400

2 85, 64, 34, 700
2 85, 32, 17, 350
5 85, 16, 17, 175
17 17, 16, 17, 35
1, 16, 1, 35

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 1 x 16 x 1 x 35 = 190400

Least Common Multiple of 85,64,34,700 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 85,64,34,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,64,34,700) = 1

common factors(in case of two or more numbers have common factors) = 680

GCF(85,64,34,700) x common factors =1 x 680 = 680

LCM(85,64,34,700) = ( 85 × 64 × 34 × 700 ) / 680

LCM(85,64,34,700) = 129472000 / 680

LCM(85,64,34,700) = 190400

∴ Least Common Multiple of 85,64,34,700 is 190400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 85, 64, 34, 700

1. What is the LCM of 85, 64, 34, 700?

Answer: LCM of 85, 64, 34, 700 is 190400.

2. What are the Factors of 190400?

Answer: Factors of 190400 are . There are integers that are factors of 190400

3. How to Find the LCM of 85, 64, 34, 700 ?

Least Common Multiple of 85, 64, 34, 700.

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(85, 64, 34, 700) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 17 = 190400.