Least Common Multiple of 64/876, 28/994, 894/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/876, 28/994, 894/115 quickly i.e. 200256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/876, 28/994, 894/115 is 200256.

LCM(64/876, 28/994, 894/115) = 200256

LCM of 64/876, 28/994, 894/115

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 64/876,28/994,894/115

Given numbers are 64/876,28/994,894/115

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 64,28,894

Least Common Multiple of Numerators i.e. LCM of 64,28,894 is 200256.

GCF of Denominators means GCF of 876,994,115 as per the given fractions.

GCF of 876,994,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,28,894

LCM of Fractions 64/876,28/994,894/115 is 200256

2 64, 28, 894
2 32, 14, 447
16, 7, 447

∴ So the LCM of the given numbers is 2 x 2 x 16 x 7 x 447 = 200256

Least Common Multiple of 64,28,894 with GCF Formula

Least Common Multiple of 64,28,894 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 64,28,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,28,894) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,28,894) x common factors =2 x 4 = 8

LCM(64,28,894) = ( 64 × 28 × 894 ) / 8

LCM(64,28,894) = 1602048 / 8

LCM(64,28,894) = 200256


Lets's calculate GCF of 876,994,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200256/1

Therefore the LCM of Fractions 64/876,28/994,894/115 is 200256

Greatest Common Factor of 876,994,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,994,115 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 876,994,115 . The biggest common factor number is the GCF number.
So the greatest common factor 876,994,115 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/876, 28/994, 894/115

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 64/876, 28/994, 894/115?

Answer: LCM of Numerators as per given numbers 64/876, 28/994, 894/115 is

LCM of Numerators i.e. for 64,28,894 is 200256

GCF of denominators i.e. for 876,994,115 is 1.

Thus, LCM of Fractions is 200256.Finally, LCM of Fractions for 64/876, 28/994, 894/115 is 200256.