Least Common Multiple of 70/72, 41/429, 767/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/72, 41/429, 767/710 quickly i.e. 2201290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/72, 41/429, 767/710 is 2201290.

LCM(70/72, 41/429, 767/710) = 2201290

LCM of 70/72, 41/429, 767/710

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 70/72,41/429,767/710

Given numbers are 70/72,41/429,767/710

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 70,41,767

Least Common Multiple of Numerators i.e. LCM of 70,41,767 is 2201290.

GCF of Denominators means GCF of 72,429,710 as per the given fractions.

GCF of 72,429,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,41,767

LCM of Fractions 70/72,41/429,767/710 is 2201290

Given numbers has no common factors except 1. So, there LCM is their product i.e 2201290

Least Common Multiple of 70,41,767 with GCF Formula

Least Common Multiple of 70,41,767 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 70,41,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,41,767) = 1

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

GCF(70,41,767) x common factors =1 x 1 = 1

LCM(70,41,767) = ( 70 × 41 × 767 ) / 1

LCM(70,41,767) = 2201290 / 1

LCM(70,41,767) = 2201290


Lets's calculate GCF of 72,429,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2201290/1

Therefore the LCM of Fractions 70/72,41/429,767/710 is 2201290

Greatest Common Factor of 72,429,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,429,710 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 72,429,710 . The biggest common factor number is the GCF number.
So the greatest common factor 72,429,710 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 70/72, 41/429, 767/710

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 70/72, 41/429, 767/710?

Answer: LCM of Numerators as per given numbers 70/72, 41/429, 767/710 is

LCM of Numerators i.e. for 70,41,767 is 2201290

GCF of denominators i.e. for 72,429,710 is 1.

Thus, LCM of Fractions is 2201290.Finally, LCM of Fractions for 70/72, 41/429, 767/710 is 2201290.