Least Common Multiple of 742, 702, 954, 106, 867

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, 702, 954, 106, 867 i.e. 75267738 smallest integer divisible by all numbers.

Least common multiple (LCM) of 742, 702, 954, 106, 867 is 75267738.

LCM(742, 702, 954, 106, 867) = 75267738

LCM of 742, 702, 954, 106, 867

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

LCM of:

Least Common Multiple of 742,702,954,106,867

Least Common Multiple (LCM) of 742,702,954,106,867 is 75267738

2 742, 702, 954, 106, 867
3 371, 351, 477, 53, 867
3 371, 117, 159, 53, 289
53 371, 39, 53, 53, 289
7, 39, 1, 1, 289

∴ So the LCM of the given numbers is 2 x 3 x 3 x 53 x 7 x 39 x 1 x 1 x 289 = 75267738

Least Common Multiple of 742,702,954,106,867 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 742,702,954,106,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,702,954,106,867) = 1

common factors(in case of two or more numbers have common factors) = 606744

GCF(742,702,954,106,867) x common factors =1 x 606744 = 606744

LCM(742,702,954,106,867) = ( 742 × 702 × 954 × 106 × 867 ) / 606744

LCM(742,702,954,106,867) = 45668248425072 / 606744

LCM(742,702,954,106,867) = 75267738

∴ Least Common Multiple of 742,702,954,106,867 is 75267738

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 742, 702, 954, 106, 867

1. What is the LCM of 742, 702, 954, 106, 867?

Answer: LCM of 742, 702, 954, 106, 867 is 75267738.

2. What are the Factors of 75267738?

Answer: Factors of 75267738 are . There are integers that are factors of 75267738

3. How to Find the LCM of 742, 702, 954, 106, 867 ?

Least Common Multiple of 742, 702, 954, 106, 867.

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, 702, 954, 106, 867) = 2 x 3 x 3 x 3 x 7 x 13 x 17 x 17 x 53 = 75267738.