Least Common Multiple of 54/772, 273/998, 851/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/772, 273/998, 851/310 quickly i.e. 2090907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/772, 273/998, 851/310 is 2090907.

LCM(54/772, 273/998, 851/310) = 2090907

LCM of 54/772, 273/998, 851/310

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 54/772,273/998,851/310

Given numbers are 54/772,273/998,851/310

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 54,273,851

Least Common Multiple of Numerators i.e. LCM of 54,273,851 is 4181814.

GCF of Denominators means GCF of 772,998,310 as per the given fractions.

GCF of 772,998,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,273,851

LCM of Fractions 54/772,273/998,851/310 is 2090907

3 54, 273, 851
18, 91, 851

∴ So the LCM of the given numbers is 3 x 18 x 91 x 851 = 4181814

Least Common Multiple of 54,273,851 with GCF Formula

Least Common Multiple of 54,273,851 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 54,273,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,273,851) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,273,851) x common factors =1 x 3 = 3

LCM(54,273,851) = ( 54 × 273 × 851 ) / 3

LCM(54,273,851) = 12545442 / 3

LCM(54,273,851) = 4181814


Lets's calculate GCF of 772,998,310

2 772, 998, 310
386, 499, 155

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4181814/2

Therefore the LCM of Fractions 54/772,273/998,851/310 is 2090907

Greatest Common Factor of 772,998,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,998,310 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 772,998,310 . The biggest common factor number is the GCF number.
So the greatest common factor 772,998,310 is 2.


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 54/772, 273/998, 851/310

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 54/772, 273/998, 851/310?

Answer: LCM of Numerators as per given numbers 54/772, 273/998, 851/310 is

LCM of Numerators i.e. for 54,273,851 is 4181814

GCF of denominators i.e. for 772,998,310 is 2.

Thus, LCM of Fractions is 2090907.Finally, LCM of Fractions for 54/772, 273/998, 851/310 is 2090907.