Least Common Multiple of 546, 570, 810, 106

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 546, 570, 810, 106 i.e. 74225970 smallest integer divisible by all numbers.

Least common multiple (LCM) of 546, 570, 810, 106 is 74225970.

LCM(546, 570, 810, 106) = 74225970

LCM of 546, 570, 810, 106

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

LCM of:

Least Common Multiple of 546,570,810,106

Least Common Multiple (LCM) of 546,570,810,106 is 74225970

2 546, 570, 810, 106
3 273, 285, 405, 53
5 91, 95, 135, 53
91, 19, 27, 53

∴ So the LCM of the given numbers is 2 x 3 x 5 x 91 x 19 x 27 x 53 = 74225970

Least Common Multiple of 546,570,810,106 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 546,570,810,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,570,810,106) = 2

common factors(in case of two or more numbers have common factors) = 180

GCF(546,570,810,106) x common factors =2 x 180 = 360

LCM(546,570,810,106) = ( 546 × 570 × 810 × 106 ) / 360

LCM(546,570,810,106) = 26721349200 / 360

LCM(546,570,810,106) = 74225970

∴ Least Common Multiple of 546,570,810,106 is 74225970

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 546, 570, 810, 106

1. What is the LCM of 546, 570, 810, 106?

Answer: LCM of 546, 570, 810, 106 is 74225970.

2. What are the Factors of 74225970?

Answer: Factors of 74225970 are . There are integers that are factors of 74225970

3. How to Find the LCM of 546, 570, 810, 106 ?

Least Common Multiple of 546, 570, 810, 106.

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(546, 570, 810, 106) = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 19 x 53 = 74225970.