Least Common Multiple of 69/276, 780/392, 845/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/276, 780/392, 845/771 quickly i.e. 233220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/276, 780/392, 845/771 is 233220.

LCM(69/276, 780/392, 845/771) = 233220

LCM of 69/276, 780/392, 845/771

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 69/276,780/392,845/771

Given numbers are 69/276,780/392,845/771

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 69,780,845

Least Common Multiple of Numerators i.e. LCM of 69,780,845 is 233220.

GCF of Denominators means GCF of 276,392,771 as per the given fractions.

GCF of 276,392,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,780,845

LCM of Fractions 69/276,780/392,845/771 is 233220

3 69, 780, 845
5 23, 260, 845
13 23, 52, 169
23, 4, 13

∴ So the LCM of the given numbers is 3 x 5 x 13 x 23 x 4 x 13 = 233220

Least Common Multiple of 69,780,845 with GCF Formula

Least Common Multiple of 69,780,845 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 69,780,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,780,845) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(69,780,845) x common factors =1 x 195 = 195

LCM(69,780,845) = ( 69 × 780 × 845 ) / 195

LCM(69,780,845) = 45477900 / 195

LCM(69,780,845) = 233220


Lets's calculate GCF of 276,392,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233220/1

Therefore the LCM of Fractions 69/276,780/392,845/771 is 233220

Greatest Common Factor of 276,392,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,392,771 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 276,392,771 . The biggest common factor number is the GCF number.
So the greatest common factor 276,392,771 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 69/276, 780/392, 845/771

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 69/276, 780/392, 845/771?

Answer: LCM of Numerators as per given numbers 69/276, 780/392, 845/771 is

LCM of Numerators i.e. for 69,780,845 is 233220

GCF of denominators i.e. for 276,392,771 is 1.

Thus, LCM of Fractions is 233220.Finally, LCM of Fractions for 69/276, 780/392, 845/771 is 233220.