Least Common Multiple of 78/660, 228/767, 775/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/660, 228/767, 775/658 quickly i.e. 2297100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/660, 228/767, 775/658 is 2297100.

LCM(78/660, 228/767, 775/658) = 2297100

LCM of 78/660, 228/767, 775/658

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 78/660,228/767,775/658

Given numbers are 78/660,228/767,775/658

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 78,228,775

Least Common Multiple of Numerators i.e. LCM of 78,228,775 is 2297100.

GCF of Denominators means GCF of 660,767,658 as per the given fractions.

GCF of 660,767,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,228,775

LCM of Fractions 78/660,228/767,775/658 is 2297100

2 78, 228, 775
3 39, 114, 775
13, 38, 775

∴ So the LCM of the given numbers is 2 x 3 x 13 x 38 x 775 = 2297100

Least Common Multiple of 78,228,775 with GCF Formula

Least Common Multiple of 78,228,775 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 78,228,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,228,775) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,228,775) x common factors =1 x 6 = 6

LCM(78,228,775) = ( 78 × 228 × 775 ) / 6

LCM(78,228,775) = 13782600 / 6

LCM(78,228,775) = 2297100


Lets's calculate GCF of 660,767,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2297100/1

Therefore the LCM of Fractions 78/660,228/767,775/658 is 2297100

Greatest Common Factor of 660,767,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,767,658 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 660,767,658 . The biggest common factor number is the GCF number.
So the greatest common factor 660,767,658 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 78/660, 228/767, 775/658

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 78/660, 228/767, 775/658?

Answer: LCM of Numerators as per given numbers 78/660, 228/767, 775/658 is

LCM of Numerators i.e. for 78,228,775 is 2297100

GCF of denominators i.e. for 660,767,658 is 1.

Thus, LCM of Fractions is 2297100.Finally, LCM of Fractions for 78/660, 228/767, 775/658 is 2297100.