Least Common Multiple of 94/506, 70/339, 791/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/506, 70/339, 791/446 quickly i.e. 371770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/506, 70/339, 791/446 is 371770.

LCM(94/506, 70/339, 791/446) = 371770

LCM of 94/506, 70/339, 791/446

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 94/506,70/339,791/446

Given numbers are 94/506,70/339,791/446

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 94,70,791

Least Common Multiple of Numerators i.e. LCM of 94,70,791 is 371770.

GCF of Denominators means GCF of 506,339,446 as per the given fractions.

GCF of 506,339,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,70,791

LCM of Fractions 94/506,70/339,791/446 is 371770

2 94, 70, 791
7 47, 35, 791
47, 5, 113

∴ So the LCM of the given numbers is 2 x 7 x 47 x 5 x 113 = 371770

Least Common Multiple of 94,70,791 with GCF Formula

Least Common Multiple of 94,70,791 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 94,70,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,70,791) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(94,70,791) x common factors =1 x 14 = 14

LCM(94,70,791) = ( 94 × 70 × 791 ) / 14

LCM(94,70,791) = 5204780 / 14

LCM(94,70,791) = 371770


Lets's calculate GCF of 506,339,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371770/1

Therefore the LCM of Fractions 94/506,70/339,791/446 is 371770

Greatest Common Factor of 506,339,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,339,446 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 506,339,446 . The biggest common factor number is the GCF number.
So the greatest common factor 506,339,446 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/506, 70/339, 791/446

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 94/506, 70/339, 791/446?

Answer: LCM of Numerators as per given numbers 94/506, 70/339, 791/446 is

LCM of Numerators i.e. for 94,70,791 is 371770

GCF of denominators i.e. for 506,339,446 is 1.

Thus, LCM of Fractions is 371770.Finally, LCM of Fractions for 94/506, 70/339, 791/446 is 371770.