Least Common Multiple of 53/444, 949/916, 797/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/444, 949/916, 797/169 quickly i.e. 40086709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/444, 949/916, 797/169 is 40086709.

LCM(53/444, 949/916, 797/169) = 40086709

LCM of 53/444, 949/916, 797/169

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 53/444,949/916,797/169

Given numbers are 53/444,949/916,797/169

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 53,949,797

Least Common Multiple of Numerators i.e. LCM of 53,949,797 is 40086709.

GCF of Denominators means GCF of 444,916,169 as per the given fractions.

GCF of 444,916,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,949,797

LCM of Fractions 53/444,949/916,797/169 is 40086709

Given numbers has no common factors except 1. So, there LCM is their product i.e 40086709

Least Common Multiple of 53,949,797 with GCF Formula

Least Common Multiple of 53,949,797 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 53,949,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,949,797) = 1

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

GCF(53,949,797) x common factors =1 x 1 = 1

LCM(53,949,797) = ( 53 × 949 × 797 ) / 1

LCM(53,949,797) = 40086709 / 1

LCM(53,949,797) = 40086709


Lets's calculate GCF of 444,916,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40086709/1

Therefore the LCM of Fractions 53/444,949/916,797/169 is 40086709

Greatest Common Factor of 444,916,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,916,169 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 444,916,169 . The biggest common factor number is the GCF number.
So the greatest common factor 444,916,169 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/444, 949/916, 797/169

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 53/444, 949/916, 797/169?

Answer: LCM of Numerators as per given numbers 53/444, 949/916, 797/169 is

LCM of Numerators i.e. for 53,949,797 is 40086709

GCF of denominators i.e. for 444,916,169 is 1.

Thus, LCM of Fractions is 40086709.Finally, LCM of Fractions for 53/444, 949/916, 797/169 is 40086709.