Least Common Multiple of 15, 49, 75, 747

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 15, 49, 75, 747 i.e. 915075 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 49, 75, 747 is 915075.

LCM(15, 49, 75, 747) = 915075

LCM of 15, 49, 75, 747

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

LCM of:

Least Common Multiple of 15,49,75,747

Least Common Multiple (LCM) of 15,49,75,747 is 915075

3 15, 49, 75, 747
5 5, 49, 25, 249
1, 49, 5, 249

∴ So the LCM of the given numbers is 3 x 5 x 1 x 49 x 5 x 249 = 915075

Least Common Multiple of 15,49,75,747 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 15,49,75,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,49,75,747) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(15,49,75,747) x common factors =1 x 45 = 45

LCM(15,49,75,747) = ( 15 × 49 × 75 × 747 ) / 45

LCM(15,49,75,747) = 41178375 / 45

LCM(15,49,75,747) = 915075

∴ Least Common Multiple of 15,49,75,747 is 915075

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 49, 75, 747

1. What is the LCM of 15, 49, 75, 747?

Answer: LCM of 15, 49, 75, 747 is 915075.

2. What are the Factors of 915075?

Answer: Factors of 915075 are . There are integers that are factors of 915075

3. How to Find the LCM of 15, 49, 75, 747 ?

Least Common Multiple of 15, 49, 75, 747.

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(15, 49, 75, 747) = 3 x 3 x 5 x 5 x 7 x 7 x 83 = 915075.