Least Common Multiple of 54/505, 949/842, 660/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/505, 949/842, 660/924 quickly i.e. 5637060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/505, 949/842, 660/924 is 5637060.

LCM(54/505, 949/842, 660/924) = 5637060

LCM of 54/505, 949/842, 660/924

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 54/505,949/842,660/924

Given numbers are 54/505,949/842,660/924

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 54,949,660

Least Common Multiple of Numerators i.e. LCM of 54,949,660 is 5637060.

GCF of Denominators means GCF of 505,842,924 as per the given fractions.

GCF of 505,842,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,949,660

LCM of Fractions 54/505,949/842,660/924 is 5637060

2 54, 949, 660
3 27, 949, 330
9, 949, 110

∴ So the LCM of the given numbers is 2 x 3 x 9 x 949 x 110 = 5637060

Least Common Multiple of 54,949,660 with GCF Formula

Least Common Multiple of 54,949,660 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 54,949,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,949,660) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,949,660) x common factors =1 x 6 = 6

LCM(54,949,660) = ( 54 × 949 × 660 ) / 6

LCM(54,949,660) = 33822360 / 6

LCM(54,949,660) = 5637060


Lets's calculate GCF of 505,842,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5637060/1

Therefore the LCM of Fractions 54/505,949/842,660/924 is 5637060

Greatest Common Factor of 505,842,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,842,924 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 505,842,924 . The biggest common factor number is the GCF number.
So the greatest common factor 505,842,924 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 54/505, 949/842, 660/924

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 54/505, 949/842, 660/924?

Answer: LCM of Numerators as per given numbers 54/505, 949/842, 660/924 is

LCM of Numerators i.e. for 54,949,660 is 5637060

GCF of denominators i.e. for 505,842,924 is 1.

Thus, LCM of Fractions is 5637060.Finally, LCM of Fractions for 54/505, 949/842, 660/924 is 5637060.