Least Common Multiple of 170, 153, 564

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 170, 153, 564 i.e. 143820 smallest integer divisible by all numbers.

Least common multiple (LCM) of 170, 153, 564 is 143820.

LCM(170, 153, 564) = 143820

LCM of 170, 153, 564

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

LCM of:

Least Common Multiple of 170,153,564

Least Common Multiple (LCM) of 170,153,564 is 143820

2 170, 153, 564
3 85, 153, 282
17 85, 51, 94
5, 3, 94

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 3 x 94 = 143820

Least Common Multiple of 170,153,564 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 170,153,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,153,564) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(170,153,564) x common factors =1 x 102 = 102

LCM(170,153,564) = ( 170 × 153 × 564 ) / 102

LCM(170,153,564) = 14669640 / 102

LCM(170,153,564) = 143820

∴ Least Common Multiple of 170,153,564 is 143820

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 170, 153, 564

1. What is the LCM of 170, 153, 564?

Answer: LCM of 170, 153, 564 is 143820.

2. What are the Factors of 143820?

Answer: Factors of 143820 are . There are integers that are factors of 143820

3. How to Find the LCM of 170, 153, 564 ?

Least Common Multiple of 170, 153, 564.

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(170, 153, 564) = 2 x 2 x 3 x 3 x 5 x 17 x 47 = 143820.