Least Common Multiple of 606/815, 6972/7120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 606/815, 6972/7120 quickly i.e. 704172/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 606/815, 6972/7120 is 704172/5.

LCM(606/815, 6972/7120) = 704172/5

LCM of 606/815, 6972/7120

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 606/815,6972/7120

Given numbers are 606/815,6972/7120

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 606,6972

Least Common Multiple of Numerators i.e. LCM of 606,6972 is 704172.

GCF of Denominators means GCF of 815,7120 as per the given fractions.

GCF of 815,7120 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 606,6972

LCM of Fractions 606/815,6972/7120 is 704172/5

2 606, 6972
3 303, 3486
101, 1162

∴ So the LCM of the given numbers is 2 x 3 x 101 x 1162 = 704172

Least Common Multiple of 606,6972 with GCF Formula

Least Common Multiple of 606,6972 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 606,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,6972) = 6

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

GCF(606,6972) x common factors =6 x 1 = 6

LCM(606,6972) = ( 606 × 6972 ) / 6

LCM(606,6972) = 4225032 / 6

LCM(606,6972) = 704172


Lets's calculate GCF of 815,7120

5 815, 7120
163, 1424

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704172/5

Therefore the LCM of Fractions 606/815,6972/7120 is 704172/5

Greatest Common Factor of 815,7120 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,7120 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120

Greatest Common Factor

We found the factors 815,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 815,7120 is 5.


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 606/815, 6972/7120

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 606/815, 6972/7120?

Answer: LCM of Numerators as per given numbers 606/815, 6972/7120 is

LCM of Numerators i.e. for 606,6972 is 704172

GCF of denominators i.e. for 815,7120 is 5.

Thus, LCM of Fractions is 704172/5.Finally, LCM of Fractions for 606/815, 6972/7120 is 704172/5.