Least Common Multiple of 853/75, 678/3129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 853/75, 678/3129 quickly i.e. 192778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 853/75, 678/3129 is 192778.

LCM(853/75, 678/3129) = 192778

LCM of 853/75, 678/3129

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 853/75,678/3129

Given numbers are 853/75,678/3129

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 853,678

Least Common Multiple of Numerators i.e. LCM of 853,678 is 578334.

GCF of Denominators means GCF of 75,3129 as per the given fractions.

GCF of 75,3129 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 853,678

LCM of Fractions 853/75,678/3129 is 192778

Given numbers has no common factors except 1. So, there LCM is their product i.e 578334

Least Common Multiple of 853,678 with GCF Formula

Least Common Multiple of 853,678 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 853,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,678) = 1

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

GCF(853,678) x common factors =1 x 1 = 1

LCM(853,678) = ( 853 × 678 ) / 1

LCM(853,678) = 578334 / 1

LCM(853,678) = 578334


Lets's calculate GCF of 75,3129

3 75, 3129
25, 1043

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578334/3

Therefore the LCM of Fractions 853/75,678/3129 is 192778

Greatest Common Factor of 75,3129 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,3129 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1,3,7,21,149,447,1043,3129

Greatest Common Factor

We found the factors 75,3129 . The biggest common factor number is the GCF number.
So the greatest common factor 75,3129 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 853/75, 678/3129

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 853/75, 678/3129?

Answer: LCM of Numerators as per given numbers 853/75, 678/3129 is

LCM of Numerators i.e. for 853,678 is 578334

GCF of denominators i.e. for 75,3129 is 3.

Thus, LCM of Fractions is 192778.Finally, LCM of Fractions for 853/75, 678/3129 is 192778.