Least Common Multiple of 61/684, 992/127, 968/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/684, 992/127, 968/816 quickly i.e. 7321952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/684, 992/127, 968/816 is 7321952.

LCM(61/684, 992/127, 968/816) = 7321952

LCM of 61/684, 992/127, 968/816

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 61/684,992/127,968/816

Given numbers are 61/684,992/127,968/816

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 61,992,968

Least Common Multiple of Numerators i.e. LCM of 61,992,968 is 7321952.

GCF of Denominators means GCF of 684,127,816 as per the given fractions.

GCF of 684,127,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,992,968

LCM of Fractions 61/684,992/127,968/816 is 7321952

2 61, 992, 968
2 61, 496, 484
2 61, 248, 242
61, 124, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 124 x 121 = 7321952

Least Common Multiple of 61,992,968 with GCF Formula

Least Common Multiple of 61,992,968 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 61,992,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,992,968) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(61,992,968) x common factors =1 x 8 = 8

LCM(61,992,968) = ( 61 × 992 × 968 ) / 8

LCM(61,992,968) = 58575616 / 8

LCM(61,992,968) = 7321952


Lets's calculate GCF of 684,127,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7321952/1

Therefore the LCM of Fractions 61/684,992/127,968/816 is 7321952

Greatest Common Factor of 684,127,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,127,816 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 684,127,816 . The biggest common factor number is the GCF number.
So the greatest common factor 684,127,816 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 61/684, 992/127, 968/816

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 61/684, 992/127, 968/816?

Answer: LCM of Numerators as per given numbers 61/684, 992/127, 968/816 is

LCM of Numerators i.e. for 61,992,968 is 7321952

GCF of denominators i.e. for 684,127,816 is 1.

Thus, LCM of Fractions is 7321952.Finally, LCM of Fractions for 61/684, 992/127, 968/816 is 7321952.