Least Common Multiple of 77/770, 113/879, 452/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/770, 113/879, 452/819 quickly i.e. 34804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/770, 113/879, 452/819 is 34804.

LCM(77/770, 113/879, 452/819) = 34804

LCM of 77/770, 113/879, 452/819

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 77/770,113/879,452/819

Given numbers are 77/770,113/879,452/819

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 77,113,452

Least Common Multiple of Numerators i.e. LCM of 77,113,452 is 34804.

GCF of Denominators means GCF of 770,879,819 as per the given fractions.

GCF of 770,879,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,113,452

LCM of Fractions 77/770,113/879,452/819 is 34804

113 77, 113, 452
77, 1, 4

∴ So the LCM of the given numbers is 113 x 77 x 1 x 4 = 34804

Least Common Multiple of 77,113,452 with GCF Formula

Least Common Multiple of 77,113,452 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 77,113,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,113,452) = 1

common factors(in case of two or more numbers have common factors) = 113

GCF(77,113,452) x common factors =1 x 113 = 113

LCM(77,113,452) = ( 77 × 113 × 452 ) / 113

LCM(77,113,452) = 3932852 / 113

LCM(77,113,452) = 34804


Lets's calculate GCF of 770,879,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34804/1

Therefore the LCM of Fractions 77/770,113/879,452/819 is 34804

Greatest Common Factor of 770,879,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,879,819 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 770,879,819 . The biggest common factor number is the GCF number.
So the greatest common factor 770,879,819 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 77/770, 113/879, 452/819

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 77/770, 113/879, 452/819?

Answer: LCM of Numerators as per given numbers 77/770, 113/879, 452/819 is

LCM of Numerators i.e. for 77,113,452 is 34804

GCF of denominators i.e. for 770,879,819 is 1.

Thus, LCM of Fractions is 34804.Finally, LCM of Fractions for 77/770, 113/879, 452/819 is 34804.