Least Common Multiple of 368/476, 683/773, 970/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 368/476, 683/773, 970/109 quickly i.e. 121901840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/476, 683/773, 970/109 is 121901840.

LCM(368/476, 683/773, 970/109) = 121901840

LCM of 368/476, 683/773, 970/109

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 368/476,683/773,970/109

Given numbers are 368/476,683/773,970/109

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 368,683,970

Least Common Multiple of Numerators i.e. LCM of 368,683,970 is 121901840.

GCF of Denominators means GCF of 476,773,109 as per the given fractions.

GCF of 476,773,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,683,970

LCM of Fractions 368/476,683/773,970/109 is 121901840

2 368, 683, 970
184, 683, 485

∴ So the LCM of the given numbers is 2 x 184 x 683 x 485 = 121901840

Least Common Multiple of 368,683,970 with GCF Formula

Least Common Multiple of 368,683,970 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 368,683,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,683,970) = 1

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

GCF(368,683,970) x common factors =1 x 2 = 2

LCM(368,683,970) = ( 368 × 683 × 970 ) / 2

LCM(368,683,970) = 243803680 / 2

LCM(368,683,970) = 121901840


Lets's calculate GCF of 476,773,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121901840/1

Therefore the LCM of Fractions 368/476,683/773,970/109 is 121901840

Greatest Common Factor of 476,773,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,773,109 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 476,773,109 . The biggest common factor number is the GCF number.
So the greatest common factor 476,773,109 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 368/476, 683/773, 970/109

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 368/476, 683/773, 970/109?

Answer: LCM of Numerators as per given numbers 368/476, 683/773, 970/109 is

LCM of Numerators i.e. for 368,683,970 is 121901840

GCF of denominators i.e. for 476,773,109 is 1.

Thus, LCM of Fractions is 121901840.Finally, LCM of Fractions for 368/476, 683/773, 970/109 is 121901840.