Least Common Multiple of 78/420, 713/349, 122/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/420, 713/349, 122/968 quickly i.e. 3392454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/420, 713/349, 122/968 is 3392454.

LCM(78/420, 713/349, 122/968) = 3392454

LCM of 78/420, 713/349, 122/968

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 78/420,713/349,122/968

Given numbers are 78/420,713/349,122/968

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 78,713,122

Least Common Multiple of Numerators i.e. LCM of 78,713,122 is 3392454.

GCF of Denominators means GCF of 420,349,968 as per the given fractions.

GCF of 420,349,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,713,122

LCM of Fractions 78/420,713/349,122/968 is 3392454

2 78, 713, 122
39, 713, 61

∴ So the LCM of the given numbers is 2 x 39 x 713 x 61 = 3392454

Least Common Multiple of 78,713,122 with GCF Formula

Least Common Multiple of 78,713,122 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 78,713,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,713,122) = 1

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

GCF(78,713,122) x common factors =1 x 2 = 2

LCM(78,713,122) = ( 78 × 713 × 122 ) / 2

LCM(78,713,122) = 6784908 / 2

LCM(78,713,122) = 3392454


Lets's calculate GCF of 420,349,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3392454/1

Therefore the LCM of Fractions 78/420,713/349,122/968 is 3392454

Greatest Common Factor of 420,349,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,349,968 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 420,349,968 . The biggest common factor number is the GCF number.
So the greatest common factor 420,349,968 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 78/420, 713/349, 122/968

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 78/420, 713/349, 122/968?

Answer: LCM of Numerators as per given numbers 78/420, 713/349, 122/968 is

LCM of Numerators i.e. for 78,713,122 is 3392454

GCF of denominators i.e. for 420,349,968 is 1.

Thus, LCM of Fractions is 3392454.Finally, LCM of Fractions for 78/420, 713/349, 122/968 is 3392454.