Least Common Multiple of 893/483, 120/873, 654/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 893/483, 120/873, 654/974 quickly i.e. 11680440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/483, 120/873, 654/974 is 11680440.

LCM(893/483, 120/873, 654/974) = 11680440

LCM of 893/483, 120/873, 654/974

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 893/483,120/873,654/974

Given numbers are 893/483,120/873,654/974

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 893,120,654

Least Common Multiple of Numerators i.e. LCM of 893,120,654 is 11680440.

GCF of Denominators means GCF of 483,873,974 as per the given fractions.

GCF of 483,873,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,120,654

LCM of Fractions 893/483,120/873,654/974 is 11680440

2 893, 120, 654
3 893, 60, 327
893, 20, 109

∴ So the LCM of the given numbers is 2 x 3 x 893 x 20 x 109 = 11680440

Least Common Multiple of 893,120,654 with GCF Formula

Least Common Multiple of 893,120,654 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 893,120,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,120,654) = 1

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

GCF(893,120,654) x common factors =1 x 6 = 6

LCM(893,120,654) = ( 893 × 120 × 654 ) / 6

LCM(893,120,654) = 70082640 / 6

LCM(893,120,654) = 11680440


Lets's calculate GCF of 483,873,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11680440/1

Therefore the LCM of Fractions 893/483,120/873,654/974 is 11680440

Greatest Common Factor of 483,873,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,873,974 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 483,873,974 . The biggest common factor number is the GCF number.
So the greatest common factor 483,873,974 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 893/483, 120/873, 654/974

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 893/483, 120/873, 654/974?

Answer: LCM of Numerators as per given numbers 893/483, 120/873, 654/974 is

LCM of Numerators i.e. for 893,120,654 is 11680440

GCF of denominators i.e. for 483,873,974 is 1.

Thus, LCM of Fractions is 11680440.Finally, LCM of Fractions for 893/483, 120/873, 654/974 is 11680440.