Least Common Multiple of 944/65, 762/57, 949/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 944/65, 762/57, 949/815 quickly i.e. 341321136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 944/65, 762/57, 949/815 is 341321136.

LCM(944/65, 762/57, 949/815) = 341321136

LCM of 944/65, 762/57, 949/815

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 944/65,762/57,949/815

Given numbers are 944/65,762/57,949/815

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 944,762,949

Least Common Multiple of Numerators i.e. LCM of 944,762,949 is 341321136.

GCF of Denominators means GCF of 65,57,815 as per the given fractions.

GCF of 65,57,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 944,762,949

LCM of Fractions 944/65,762/57,949/815 is 341321136

2 944, 762, 949
472, 381, 949

∴ So the LCM of the given numbers is 2 x 472 x 381 x 949 = 341321136

Least Common Multiple of 944,762,949 with GCF Formula

Least Common Multiple of 944,762,949 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 944,762,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,762,949) = 1

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

GCF(944,762,949) x common factors =1 x 2 = 2

LCM(944,762,949) = ( 944 × 762 × 949 ) / 2

LCM(944,762,949) = 682642272 / 2

LCM(944,762,949) = 341321136


Lets's calculate GCF of 65,57,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341321136/1

Therefore the LCM of Fractions 944/65,762/57,949/815 is 341321136

Greatest Common Factor of 65,57,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,57,815 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 815

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

1,5,163,815

Greatest Common Factor

We found the factors 65,57,815 . The biggest common factor number is the GCF number.
So the greatest common factor 65,57,815 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 944/65, 762/57, 949/815

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 944/65, 762/57, 949/815?

Answer: LCM of Numerators as per given numbers 944/65, 762/57, 949/815 is

LCM of Numerators i.e. for 944,762,949 is 341321136

GCF of denominators i.e. for 65,57,815 is 1.

Thus, LCM of Fractions is 341321136.Finally, LCM of Fractions for 944/65, 762/57, 949/815 is 341321136.