Least Common Multiple of 812/76, 589/41, 705/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/76, 589/41, 705/988 quickly i.e. 337178940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/76, 589/41, 705/988 is 337178940.

LCM(812/76, 589/41, 705/988) = 337178940

LCM of 812/76, 589/41, 705/988

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 812/76,589/41,705/988

Given numbers are 812/76,589/41,705/988

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 812,589,705

Least Common Multiple of Numerators i.e. LCM of 812,589,705 is 337178940.

GCF of Denominators means GCF of 76,41,988 as per the given fractions.

GCF of 76,41,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,589,705

LCM of Fractions 812/76,589/41,705/988 is 337178940

Given numbers has no common factors except 1. So, there LCM is their product i.e 337178940

Least Common Multiple of 812,589,705 with GCF Formula

Least Common Multiple of 812,589,705 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 812,589,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,589,705) = 1

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

GCF(812,589,705) x common factors =1 x 1 = 1

LCM(812,589,705) = ( 812 × 589 × 705 ) / 1

LCM(812,589,705) = 337178940 / 1

LCM(812,589,705) = 337178940


Lets's calculate GCF of 76,41,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 337178940/1

Therefore the LCM of Fractions 812/76,589/41,705/988 is 337178940

Greatest Common Factor of 76,41,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,41,988 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 76,41,988 . The biggest common factor number is the GCF number.
So the greatest common factor 76,41,988 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 812/76, 589/41, 705/988

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 812/76, 589/41, 705/988?

Answer: LCM of Numerators as per given numbers 812/76, 589/41, 705/988 is

LCM of Numerators i.e. for 812,589,705 is 337178940

GCF of denominators i.e. for 76,41,988 is 1.

Thus, LCM of Fractions is 337178940.Finally, LCM of Fractions for 812/76, 589/41, 705/988 is 337178940.