Least Common Multiple of 279, 315, 693

Q: How to Find the LCM of 279, 315, 693 ?

Least Common Multiple of 279, 315, 693 = 107415 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(279, 315, 693) = 3 x 3 x 5 x 7 x 11 x 31 = 107415.

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 279, 315, 693 i.e. 107415 smallest integer divisible by all numbers.

Least common multiple (LCM) of 279, 315, 693 is 107415.

LCM(279, 315, 693) = 107415

LCM of 279, 315, 693

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

Least Common Multiple of 279, 315, 693 by common division method
Least Common Multiple of 279, 315, 693 with GCF Formula

Least Common Multiple of 279,315,693

Least Common Multiple (LCM) of 279,315,693 is 107415

3	279, 315, 693
3	93, 105, 231
7	31, 35, 77
	31, 5, 11

∴ So the LCM of the given numbers is 3 x 3 x 7 x 31 x 5 x 11 = 107415

Least Common Multiple of 279,315,693 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 279,315,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,315,693) = 9

common factors(in case of two or more numbers have common factors) = 63

GCF(279,315,693) x common factors =9 x 63 = 567

LCM(279,315,693) = ( 279 × 315 × 693 ) / 567

LCM(279,315,693) = 60904305 / 567

LCM(279,315,693) = 107415

∴ Least Common Multiple of 279,315,693 is 107415

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 279, 315, 693

1. What is the LCM of 279, 315, 693?

Answer: LCM of 279, 315, 693 is 107415.

2. What are the Factors of 107415?

Answer: Factors of 107415 are . There are integers that are factors of 107415

3. How to Find the LCM of 279, 315, 693 ?

Least Common Multiple of 279, 315, 693.

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(279, 315, 693) = 3 x 3 x 5 x 7 x 11 x 31 = 107415.