Least Common Multiple of 45/755, 880/836, 213/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/755, 880/836, 213/972 quickly i.e. 562320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/755, 880/836, 213/972 is 562320.

LCM(45/755, 880/836, 213/972) = 562320

LCM of 45/755, 880/836, 213/972

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 45/755,880/836,213/972

Given numbers are 45/755,880/836,213/972

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 45,880,213

Least Common Multiple of Numerators i.e. LCM of 45,880,213 is 562320.

GCF of Denominators means GCF of 755,836,972 as per the given fractions.

GCF of 755,836,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,880,213

LCM of Fractions 45/755,880/836,213/972 is 562320

3 45, 880, 213
5 15, 880, 71
3, 176, 71

∴ So the LCM of the given numbers is 3 x 5 x 3 x 176 x 71 = 562320

Least Common Multiple of 45,880,213 with GCF Formula

Least Common Multiple of 45,880,213 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 45,880,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,880,213) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,880,213) x common factors =1 x 15 = 15

LCM(45,880,213) = ( 45 × 880 × 213 ) / 15

LCM(45,880,213) = 8434800 / 15

LCM(45,880,213) = 562320


Lets's calculate GCF of 755,836,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562320/1

Therefore the LCM of Fractions 45/755,880/836,213/972 is 562320

Greatest Common Factor of 755,836,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,836,972 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 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 755,836,972 . The biggest common factor number is the GCF number.
So the greatest common factor 755,836,972 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 45/755, 880/836, 213/972

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 45/755, 880/836, 213/972?

Answer: LCM of Numerators as per given numbers 45/755, 880/836, 213/972 is

LCM of Numerators i.e. for 45,880,213 is 562320

GCF of denominators i.e. for 755,836,972 is 1.

Thus, LCM of Fractions is 562320.Finally, LCM of Fractions for 45/755, 880/836, 213/972 is 562320.