Least Common Multiple of 785/894, 391/195, 376/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/894, 391/195, 376/112 quickly i.e. 115407560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/894, 391/195, 376/112 is 115407560.

LCM(785/894, 391/195, 376/112) = 115407560

LCM of 785/894, 391/195, 376/112

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 785/894,391/195,376/112

Given numbers are 785/894,391/195,376/112

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 785,391,376

Least Common Multiple of Numerators i.e. LCM of 785,391,376 is 115407560.

GCF of Denominators means GCF of 894,195,112 as per the given fractions.

GCF of 894,195,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,391,376

LCM of Fractions 785/894,391/195,376/112 is 115407560

Given numbers has no common factors except 1. So, there LCM is their product i.e 115407560

Least Common Multiple of 785,391,376 with GCF Formula

Least Common Multiple of 785,391,376 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 785,391,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,391,376) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(785,391,376) x common factors =1 x 1 = 1

LCM(785,391,376) = ( 785 × 391 × 376 ) / 1

LCM(785,391,376) = 115407560 / 1

LCM(785,391,376) = 115407560


Lets's calculate GCF of 894,195,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115407560/1

Therefore the LCM of Fractions 785/894,391/195,376/112 is 115407560

Greatest Common Factor of 894,195,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,195,112 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 894,195,112 . The biggest common factor number is the GCF number.
So the greatest common factor 894,195,112 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 785/894, 391/195, 376/112

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 785/894, 391/195, 376/112?

Answer: LCM of Numerators as per given numbers 785/894, 391/195, 376/112 is

LCM of Numerators i.e. for 785,391,376 is 115407560

GCF of denominators i.e. for 894,195,112 is 1.

Thus, LCM of Fractions is 115407560.Finally, LCM of Fractions for 785/894, 391/195, 376/112 is 115407560.