Least Common Multiple of 858/972, 3508/7185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/972, 3508/7185 quickly i.e. 501644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/972, 3508/7185 is 501644.

LCM(858/972, 3508/7185) = 501644

LCM of 858/972, 3508/7185

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 858/972,3508/7185

Given numbers are 858/972,3508/7185

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 858,3508

Least Common Multiple of Numerators i.e. LCM of 858,3508 is 1504932.

GCF of Denominators means GCF of 972,7185 as per the given fractions.

GCF of 972,7185 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,3508

LCM of Fractions 858/972,3508/7185 is 501644

2 858, 3508
429, 1754

∴ So the LCM of the given numbers is 2 x 429 x 1754 = 1504932

Least Common Multiple of 858,3508 with GCF Formula

Least Common Multiple of 858,3508 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 858,3508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,3508) = 2

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

GCF(858,3508) x common factors =2 x 1 = 2

LCM(858,3508) = ( 858 × 3508 ) / 2

LCM(858,3508) = 3009864 / 2

LCM(858,3508) = 1504932


Lets's calculate GCF of 972,7185

3 972, 7185
324, 2395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1504932/3

Therefore the LCM of Fractions 858/972,3508/7185 is 501644

Greatest Common Factor of 972,7185 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,7185 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1,3,5,15,479,1437,2395,7185

Greatest Common Factor

We found the factors 972,7185 . The biggest common factor number is the GCF number.
So the greatest common factor 972,7185 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 858/972, 3508/7185

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 858/972, 3508/7185?

Answer: LCM of Numerators as per given numbers 858/972, 3508/7185 is

LCM of Numerators i.e. for 858,3508 is 1504932

GCF of denominators i.e. for 972,7185 is 3.

Thus, LCM of Fractions is 501644.Finally, LCM of Fractions for 858/972, 3508/7185 is 501644.