Least Common Multiple of 106, 705, 36

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 106, 705, 36 i.e. 448380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 106, 705, 36 is 448380.

LCM(106, 705, 36) = 448380

LCM of 106, 705, 36

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

LCM of:

Least Common Multiple of 106,705,36

Least Common Multiple (LCM) of 106,705,36 is 448380

2 106, 705, 36
3 53, 705, 18
53, 235, 6

∴ So the LCM of the given numbers is 2 x 3 x 53 x 235 x 6 = 448380

Least Common Multiple of 106,705,36 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 106,705,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,705,36) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(106,705,36) x common factors =1 x 6 = 6

LCM(106,705,36) = ( 106 × 705 × 36 ) / 6

LCM(106,705,36) = 2690280 / 6

LCM(106,705,36) = 448380

∴ Least Common Multiple of 106,705,36 is 448380

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 106, 705, 36

1. What is the LCM of 106, 705, 36?

Answer: LCM of 106, 705, 36 is 448380.

2. What are the Factors of 448380?

Answer: Factors of 448380 are . There are integers that are factors of 448380

3. How to Find the LCM of 106, 705, 36 ?

Least Common Multiple of 106, 705, 36.

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(106, 705, 36) = 2 x 2 x 3 x 3 x 5 x 47 x 53 = 448380.