Least Common Multiple of 972, 838, 706, 306, 801

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 972, 838, 706, 306, 801 i.e. 217517358852 smallest integer divisible by all numbers.

Least common multiple (LCM) of 972, 838, 706, 306, 801 is 217517358852.

LCM(972, 838, 706, 306, 801) = 217517358852

LCM of 972, 838, 706, 306, 801

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

LCM of:

Least Common Multiple of 972,838,706,306,801

Least Common Multiple (LCM) of 972,838,706,306,801 is 217517358852

2 972, 838, 706, 306, 801
3 486, 419, 353, 153, 801
3 162, 419, 353, 51, 267
54, 419, 353, 17, 89

∴ So the LCM of the given numbers is 2 x 3 x 3 x 54 x 419 x 353 x 17 x 89 = 217517358852

Least Common Multiple of 972,838,706,306,801 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 972,838,706,306,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,838,706,306,801) = 1

common factors(in case of two or more numbers have common factors) = 648

GCF(972,838,706,306,801) x common factors =1 x 648 = 648

LCM(972,838,706,306,801) = ( 972 × 838 × 706 × 306 × 801 ) / 648

LCM(972,838,706,306,801) = 140951248536096 / 648

LCM(972,838,706,306,801) = 217517358852

∴ Least Common Multiple of 972,838,706,306,801 is 217517358852

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 972, 838, 706, 306, 801

1. What is the LCM of 972, 838, 706, 306, 801?

Answer: LCM of 972, 838, 706, 306, 801 is 217517358852.

2. What are the Factors of 217517358852?

Answer: Factors of 217517358852 are . There are integers that are factors of 217517358852

3. How to Find the LCM of 972, 838, 706, 306, 801 ?

Least Common Multiple of 972, 838, 706, 306, 801.

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(972, 838, 706, 306, 801) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 17 x 89 x 353 x 419 = 217517358852.