Least Common Multiple of 619/79, 961/13, 706/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 619/79, 961/13, 706/123 quickly i.e. 419970454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 619/79, 961/13, 706/123 is 419970454.

LCM(619/79, 961/13, 706/123) = 419970454

LCM of 619/79, 961/13, 706/123

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 619/79,961/13,706/123

Given numbers are 619/79,961/13,706/123

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 619,961,706

Least Common Multiple of Numerators i.e. LCM of 619,961,706 is 419970454.

GCF of Denominators means GCF of 79,13,123 as per the given fractions.

GCF of 79,13,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 619,961,706

LCM of Fractions 619/79,961/13,706/123 is 419970454

Given numbers has no common factors except 1. So, there LCM is their product i.e 419970454

Least Common Multiple of 619,961,706 with GCF Formula

Least Common Multiple of 619,961,706 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 619,961,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,961,706) = 1

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

GCF(619,961,706) x common factors =1 x 1 = 1

LCM(619,961,706) = ( 619 × 961 × 706 ) / 1

LCM(619,961,706) = 419970454 / 1

LCM(619,961,706) = 419970454


Lets's calculate GCF of 79,13,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 419970454/1

Therefore the LCM of Fractions 619/79,961/13,706/123 is 419970454

Greatest Common Factor of 79,13,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,13,123 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 79,13,123 . The biggest common factor number is the GCF number.
So the greatest common factor 79,13,123 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 619/79, 961/13, 706/123

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 619/79, 961/13, 706/123?

Answer: LCM of Numerators as per given numbers 619/79, 961/13, 706/123 is

LCM of Numerators i.e. for 619,961,706 is 419970454

GCF of denominators i.e. for 79,13,123 is 1.

Thus, LCM of Fractions is 419970454.Finally, LCM of Fractions for 619/79, 961/13, 706/123 is 419970454.