Least Common Multiple of 70/755, 45/660, 240/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/755, 45/660, 240/579 quickly i.e. 5040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/755, 45/660, 240/579 is 5040.

LCM(70/755, 45/660, 240/579) = 5040

LCM of 70/755, 45/660, 240/579

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 70/755,45/660,240/579

Given numbers are 70/755,45/660,240/579

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 70,45,240

Least Common Multiple of Numerators i.e. LCM of 70,45,240 is 5040.

GCF of Denominators means GCF of 755,660,579 as per the given fractions.

GCF of 755,660,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,45,240

LCM of Fractions 70/755,45/660,240/579 is 5040

2 70, 45, 240
3 35, 45, 120
5 35, 15, 40
7, 3, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 3 x 8 = 5040

Least Common Multiple of 70,45,240 with GCF Formula

Least Common Multiple of 70,45,240 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 70,45,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,45,240) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(70,45,240) x common factors =5 x 30 = 150

LCM(70,45,240) = ( 70 × 45 × 240 ) / 150

LCM(70,45,240) = 756000 / 150

LCM(70,45,240) = 5040


Lets's calculate GCF of 755,660,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5040/1

Therefore the LCM of Fractions 70/755,45/660,240/579 is 5040

Greatest Common Factor of 755,660,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,660,579 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 755,660,579 . The biggest common factor number is the GCF number.
So the greatest common factor 755,660,579 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 70/755, 45/660, 240/579

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 70/755, 45/660, 240/579?

Answer: LCM of Numerators as per given numbers 70/755, 45/660, 240/579 is

LCM of Numerators i.e. for 70,45,240 is 5040

GCF of denominators i.e. for 755,660,579 is 1.

Thus, LCM of Fractions is 5040.Finally, LCM of Fractions for 70/755, 45/660, 240/579 is 5040.