Least Common Multiple of 94/210, 153/377, 404/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/210, 153/377, 404/766 quickly i.e. 2905164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/210, 153/377, 404/766 is 2905164.

LCM(94/210, 153/377, 404/766) = 2905164

LCM of 94/210, 153/377, 404/766

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 94/210,153/377,404/766

Given numbers are 94/210,153/377,404/766

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 94,153,404

Least Common Multiple of Numerators i.e. LCM of 94,153,404 is 2905164.

GCF of Denominators means GCF of 210,377,766 as per the given fractions.

GCF of 210,377,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,153,404

LCM of Fractions 94/210,153/377,404/766 is 2905164

2 94, 153, 404
47, 153, 202

∴ So the LCM of the given numbers is 2 x 47 x 153 x 202 = 2905164

Least Common Multiple of 94,153,404 with GCF Formula

Least Common Multiple of 94,153,404 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 94,153,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,153,404) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,153,404) x common factors =1 x 2 = 2

LCM(94,153,404) = ( 94 × 153 × 404 ) / 2

LCM(94,153,404) = 5810328 / 2

LCM(94,153,404) = 2905164


Lets's calculate GCF of 210,377,766

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2905164/1

Therefore the LCM of Fractions 94/210,153/377,404/766 is 2905164

Greatest Common Factor of 210,377,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,377,766 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 210,377,766 . The biggest common factor number is the GCF number.
So the greatest common factor 210,377,766 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/210, 153/377, 404/766

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 94/210, 153/377, 404/766?

Answer: LCM of Numerators as per given numbers 94/210, 153/377, 404/766 is

LCM of Numerators i.e. for 94,153,404 is 2905164

GCF of denominators i.e. for 210,377,766 is 1.

Thus, LCM of Fractions is 2905164.Finally, LCM of Fractions for 94/210, 153/377, 404/766 is 2905164.