Least Common Multiple of 616/31, 833/6379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 616/31, 833/6379 quickly i.e. 73304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/31, 833/6379 is 73304.

LCM(616/31, 833/6379) = 73304

LCM of 616/31, 833/6379

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 616/31,833/6379

Given numbers are 616/31,833/6379

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 616,833

Least Common Multiple of Numerators i.e. LCM of 616,833 is 73304.

GCF of Denominators means GCF of 31,6379 as per the given fractions.

GCF of 31,6379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,833

LCM of Fractions 616/31,833/6379 is 73304

7 616, 833
88, 119

∴ So the LCM of the given numbers is 7 x 88 x 119 = 73304

Least Common Multiple of 616,833 with GCF Formula

Least Common Multiple of 616,833 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 616,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,833) = 7

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

GCF(616,833) x common factors =7 x 1 = 7

LCM(616,833) = ( 616 × 833 ) / 7

LCM(616,833) = 513128 / 7

LCM(616,833) = 73304


Lets's calculate GCF of 31,6379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73304/1

Therefore the LCM of Fractions 616/31,833/6379 is 73304

Greatest Common Factor of 31,6379 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,6379 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 6379

List of positive integer factors of 6379 that divides 6379 without a remainder.

1,6379

Greatest Common Factor

We found the factors 31,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 31,6379 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 616/31, 833/6379

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 616/31, 833/6379?

Answer: LCM of Numerators as per given numbers 616/31, 833/6379 is

LCM of Numerators i.e. for 616,833 is 73304

GCF of denominators i.e. for 31,6379 is 1.

Thus, LCM of Fractions is 73304.Finally, LCM of Fractions for 616/31, 833/6379 is 73304.