Least Common Multiple of 78/798, 20/430, 343/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/798, 20/430, 343/908 quickly i.e. 133770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/798, 20/430, 343/908 is 133770.

LCM(78/798, 20/430, 343/908) = 133770

LCM of 78/798, 20/430, 343/908

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 78/798,20/430,343/908

Given numbers are 78/798,20/430,343/908

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 78,20,343

Least Common Multiple of Numerators i.e. LCM of 78,20,343 is 267540.

GCF of Denominators means GCF of 798,430,908 as per the given fractions.

GCF of 798,430,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,20,343

LCM of Fractions 78/798,20/430,343/908 is 133770

2 78, 20, 343
39, 10, 343

∴ So the LCM of the given numbers is 2 x 39 x 10 x 343 = 267540

Least Common Multiple of 78,20,343 with GCF Formula

Least Common Multiple of 78,20,343 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 78,20,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,20,343) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,20,343) x common factors =1 x 2 = 2

LCM(78,20,343) = ( 78 × 20 × 343 ) / 2

LCM(78,20,343) = 535080 / 2

LCM(78,20,343) = 267540


Lets's calculate GCF of 798,430,908

2 798, 430, 908
399, 215, 454

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267540/2

Therefore the LCM of Fractions 78/798,20/430,343/908 is 133770

Greatest Common Factor of 798,430,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,430,908 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 798,430,908 . The biggest common factor number is the GCF number.
So the greatest common factor 798,430,908 is 2.


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 78/798, 20/430, 343/908

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 78/798, 20/430, 343/908?

Answer: LCM of Numerators as per given numbers 78/798, 20/430, 343/908 is

LCM of Numerators i.e. for 78,20,343 is 267540

GCF of denominators i.e. for 798,430,908 is 2.

Thus, LCM of Fractions is 133770.Finally, LCM of Fractions for 78/798, 20/430, 343/908 is 133770.