Least Common Multiple of 772/44, 618/36, 943/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 772/44, 618/36, 943/945 quickly i.e. 224950764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/44, 618/36, 943/945 is 224950764.

LCM(772/44, 618/36, 943/945) = 224950764

LCM of 772/44, 618/36, 943/945

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 772/44,618/36,943/945

Given numbers are 772/44,618/36,943/945

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 772,618,943

Least Common Multiple of Numerators i.e. LCM of 772,618,943 is 224950764.

GCF of Denominators means GCF of 44,36,945 as per the given fractions.

GCF of 44,36,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,618,943

LCM of Fractions 772/44,618/36,943/945 is 224950764

2 772, 618, 943
386, 309, 943

∴ So the LCM of the given numbers is 2 x 386 x 309 x 943 = 224950764

Least Common Multiple of 772,618,943 with GCF Formula

Least Common Multiple of 772,618,943 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 772,618,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,618,943) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(772,618,943) x common factors =1 x 2 = 2

LCM(772,618,943) = ( 772 × 618 × 943 ) / 2

LCM(772,618,943) = 449901528 / 2

LCM(772,618,943) = 224950764


Lets's calculate GCF of 44,36,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224950764/1

Therefore the LCM of Fractions 772/44,618/36,943/945 is 224950764

Greatest Common Factor of 44,36,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,36,945 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 44,36,945 . The biggest common factor number is the GCF number.
So the greatest common factor 44,36,945 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 772/44, 618/36, 943/945

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 772/44, 618/36, 943/945?

Answer: LCM of Numerators as per given numbers 772/44, 618/36, 943/945 is

LCM of Numerators i.e. for 772,618,943 is 224950764

GCF of denominators i.e. for 44,36,945 is 1.

Thus, LCM of Fractions is 224950764.Finally, LCM of Fractions for 772/44, 618/36, 943/945 is 224950764.