Least Common Multiple of 508/72, 705/7095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/72, 705/7095 quickly i.e. 119380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/72, 705/7095 is 119380.

LCM(508/72, 705/7095) = 119380

LCM of 508/72, 705/7095

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 508/72,705/7095

Given numbers are 508/72,705/7095

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 508,705

Least Common Multiple of Numerators i.e. LCM of 508,705 is 358140.

GCF of Denominators means GCF of 72,7095 as per the given fractions.

GCF of 72,7095 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,705

LCM of Fractions 508/72,705/7095 is 119380

Given numbers has no common factors except 1. So, there LCM is their product i.e 358140

Least Common Multiple of 508,705 with GCF Formula

Least Common Multiple of 508,705 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 508,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,705) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(508,705) x common factors =1 x 1 = 1

LCM(508,705) = ( 508 × 705 ) / 1

LCM(508,705) = 358140 / 1

LCM(508,705) = 358140


Lets's calculate GCF of 72,7095

3 72, 7095
24, 2365

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358140/3

Therefore the LCM of Fractions 508/72,705/7095 is 119380

Greatest Common Factor of 72,7095 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,7095 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Greatest Common Factor

We found the factors 72,7095 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7095 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 508/72, 705/7095

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 508/72, 705/7095?

Answer: LCM of Numerators as per given numbers 508/72, 705/7095 is

LCM of Numerators i.e. for 508,705 is 358140

GCF of denominators i.e. for 72,7095 is 3.

Thus, LCM of Fractions is 119380.Finally, LCM of Fractions for 508/72, 705/7095 is 119380.