Least Common Multiple of 77/317, 21/610, 584/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/317, 21/610, 584/602 quickly i.e. 134904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/317, 21/610, 584/602 is 134904.

LCM(77/317, 21/610, 584/602) = 134904

LCM of 77/317, 21/610, 584/602

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 77/317,21/610,584/602

Given numbers are 77/317,21/610,584/602

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 77,21,584

Least Common Multiple of Numerators i.e. LCM of 77,21,584 is 134904.

GCF of Denominators means GCF of 317,610,602 as per the given fractions.

GCF of 317,610,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,21,584

LCM of Fractions 77/317,21/610,584/602 is 134904

7 77, 21, 584
11, 3, 584

∴ So the LCM of the given numbers is 7 x 11 x 3 x 584 = 134904

Least Common Multiple of 77,21,584 with GCF Formula

Least Common Multiple of 77,21,584 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 77,21,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,21,584) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,21,584) x common factors =1 x 7 = 7

LCM(77,21,584) = ( 77 × 21 × 584 ) / 7

LCM(77,21,584) = 944328 / 7

LCM(77,21,584) = 134904


Lets's calculate GCF of 317,610,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134904/1

Therefore the LCM of Fractions 77/317,21/610,584/602 is 134904

Greatest Common Factor of 317,610,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,610,602 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 317,610,602 . The biggest common factor number is the GCF number.
So the greatest common factor 317,610,602 is 1.


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 77/317, 21/610, 584/602

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 77/317, 21/610, 584/602?

Answer: LCM of Numerators as per given numbers 77/317, 21/610, 584/602 is

LCM of Numerators i.e. for 77,21,584 is 134904

GCF of denominators i.e. for 317,610,602 is 1.

Thus, LCM of Fractions is 134904.Finally, LCM of Fractions for 77/317, 21/610, 584/602 is 134904.