Least Common Multiple of 28/777, 84/698, 279/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/777, 84/698, 279/128 quickly i.e. 7812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/777, 84/698, 279/128 is 7812.

LCM(28/777, 84/698, 279/128) = 7812

LCM of 28/777, 84/698, 279/128

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 28/777,84/698,279/128

Given numbers are 28/777,84/698,279/128

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 28,84,279

Least Common Multiple of Numerators i.e. LCM of 28,84,279 is 7812.

GCF of Denominators means GCF of 777,698,128 as per the given fractions.

GCF of 777,698,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,84,279

LCM of Fractions 28/777,84/698,279/128 is 7812

2 28, 84, 279
2 14, 42, 279
3 7, 21, 279
7 7, 7, 93
1, 1, 93

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 93 = 7812

Least Common Multiple of 28,84,279 with GCF Formula

Least Common Multiple of 28,84,279 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 28,84,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,84,279) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(28,84,279) x common factors =1 x 84 = 84

LCM(28,84,279) = ( 28 × 84 × 279 ) / 84

LCM(28,84,279) = 656208 / 84

LCM(28,84,279) = 7812


Lets's calculate GCF of 777,698,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7812/1

Therefore the LCM of Fractions 28/777,84/698,279/128 is 7812

Greatest Common Factor of 777,698,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,698,128 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 777,698,128 . The biggest common factor number is the GCF number.
So the greatest common factor 777,698,128 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 28/777, 84/698, 279/128

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 28/777, 84/698, 279/128?

Answer: LCM of Numerators as per given numbers 28/777, 84/698, 279/128 is

LCM of Numerators i.e. for 28,84,279 is 7812

GCF of denominators i.e. for 777,698,128 is 1.

Thus, LCM of Fractions is 7812.Finally, LCM of Fractions for 28/777, 84/698, 279/128 is 7812.