Least Common Multiple of 742, 749, 972, 470, 318

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 742, 749, 972, 470, 318 i.e. 9067588740 smallest integer divisible by all numbers.

Least common multiple (LCM) of 742, 749, 972, 470, 318 is 9067588740.

LCM(742, 749, 972, 470, 318) = 9067588740

LCM of 742, 749, 972, 470, 318

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

LCM of:

Least Common Multiple of 742,749,972,470,318

Least Common Multiple (LCM) of 742,749,972,470,318 is 9067588740

2 742, 749, 972, 470, 318
3 371, 749, 486, 235, 159
7 371, 749, 162, 235, 53
53 53, 107, 162, 235, 53
1, 107, 162, 235, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 53 x 1 x 107 x 162 x 235 x 1 = 9067588740

Least Common Multiple of 742,749,972,470,318 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 742,749,972,470,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,749,972,470,318) = 1

common factors(in case of two or more numbers have common factors) = 8904

GCF(742,749,972,470,318) x common factors =1 x 8904 = 8904

LCM(742,749,972,470,318) = ( 742 × 749 × 972 × 470 × 318 ) / 8904

LCM(742,749,972,470,318) = 80737810140960 / 8904

LCM(742,749,972,470,318) = 9067588740

∴ Least Common Multiple of 742,749,972,470,318 is 9067588740

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 742, 749, 972, 470, 318

1. What is the LCM of 742, 749, 972, 470, 318?

Answer: LCM of 742, 749, 972, 470, 318 is 9067588740.

2. What are the Factors of 9067588740?

Answer: Factors of 9067588740 are . There are integers that are factors of 9067588740

3. How to Find the LCM of 742, 749, 972, 470, 318 ?

Least Common Multiple of 742, 749, 972, 470, 318.

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(742, 749, 972, 470, 318) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 47 x 53 x 107 = 9067588740.