Least Common Multiple of 680/64, 830/77, 844/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/64, 830/77, 844/378 quickly i.e. 11908840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/64, 830/77, 844/378 is 11908840.

LCM(680/64, 830/77, 844/378) = 11908840

LCM of 680/64, 830/77, 844/378

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 680/64,830/77,844/378

Given numbers are 680/64,830/77,844/378

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 680,830,844

Least Common Multiple of Numerators i.e. LCM of 680,830,844 is 11908840.

GCF of Denominators means GCF of 64,77,378 as per the given fractions.

GCF of 64,77,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,830,844

LCM of Fractions 680/64,830/77,844/378 is 11908840

2 680, 830, 844
2 340, 415, 422
5 170, 415, 211
34, 83, 211

∴ So the LCM of the given numbers is 2 x 2 x 5 x 34 x 83 x 211 = 11908840

Least Common Multiple of 680,830,844 with GCF Formula

Least Common Multiple of 680,830,844 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 680,830,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,830,844) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(680,830,844) x common factors =2 x 20 = 40

LCM(680,830,844) = ( 680 × 830 × 844 ) / 40

LCM(680,830,844) = 476353600 / 40

LCM(680,830,844) = 11908840


Lets's calculate GCF of 64,77,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11908840/1

Therefore the LCM of Fractions 680/64,830/77,844/378 is 11908840

Greatest Common Factor of 64,77,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,77,378 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

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

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 64,77,378 . The biggest common factor number is the GCF number.
So the greatest common factor 64,77,378 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 680/64, 830/77, 844/378

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 680/64, 830/77, 844/378?

Answer: LCM of Numerators as per given numbers 680/64, 830/77, 844/378 is

LCM of Numerators i.e. for 680,830,844 is 11908840

GCF of denominators i.e. for 64,77,378 is 1.

Thus, LCM of Fractions is 11908840.Finally, LCM of Fractions for 680/64, 830/77, 844/378 is 11908840.