Least Common Multiple of 78/772, 87/651, 215/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/772, 87/651, 215/930 quickly i.e. 486330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/772, 87/651, 215/930 is 486330.

LCM(78/772, 87/651, 215/930) = 486330

LCM of 78/772, 87/651, 215/930

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 78/772,87/651,215/930

Given numbers are 78/772,87/651,215/930

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 78,87,215

Least Common Multiple of Numerators i.e. LCM of 78,87,215 is 486330.

GCF of Denominators means GCF of 772,651,930 as per the given fractions.

GCF of 772,651,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,87,215

LCM of Fractions 78/772,87/651,215/930 is 486330

3 78, 87, 215
26, 29, 215

∴ So the LCM of the given numbers is 3 x 26 x 29 x 215 = 486330

Least Common Multiple of 78,87,215 with GCF Formula

Least Common Multiple of 78,87,215 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 78,87,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,87,215) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,87,215) x common factors =1 x 3 = 3

LCM(78,87,215) = ( 78 × 87 × 215 ) / 3

LCM(78,87,215) = 1458990 / 3

LCM(78,87,215) = 486330


Lets's calculate GCF of 772,651,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486330/1

Therefore the LCM of Fractions 78/772,87/651,215/930 is 486330

Greatest Common Factor of 772,651,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,651,930 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 772,651,930 . The biggest common factor number is the GCF number.
So the greatest common factor 772,651,930 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 78/772, 87/651, 215/930

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 78/772, 87/651, 215/930?

Answer: LCM of Numerators as per given numbers 78/772, 87/651, 215/930 is

LCM of Numerators i.e. for 78,87,215 is 486330

GCF of denominators i.e. for 772,651,930 is 1.

Thus, LCM of Fractions is 486330.Finally, LCM of Fractions for 78/772, 87/651, 215/930 is 486330.