Least Common Multiple of 898/517, 954/972, 883/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 898/517, 954/972, 883/821 quickly i.e. 378229518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 898/517, 954/972, 883/821 is 378229518.

LCM(898/517, 954/972, 883/821) = 378229518

LCM of 898/517, 954/972, 883/821

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 898/517,954/972,883/821

Given numbers are 898/517,954/972,883/821

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 898,954,883

Least Common Multiple of Numerators i.e. LCM of 898,954,883 is 378229518.

GCF of Denominators means GCF of 517,972,821 as per the given fractions.

GCF of 517,972,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 898,954,883

LCM of Fractions 898/517,954/972,883/821 is 378229518

2 898, 954, 883
449, 477, 883

∴ So the LCM of the given numbers is 2 x 449 x 477 x 883 = 378229518

Least Common Multiple of 898,954,883 with GCF Formula

Least Common Multiple of 898,954,883 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 898,954,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,954,883) = 1

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

GCF(898,954,883) x common factors =1 x 2 = 2

LCM(898,954,883) = ( 898 × 954 × 883 ) / 2

LCM(898,954,883) = 756459036 / 2

LCM(898,954,883) = 378229518


Lets's calculate GCF of 517,972,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378229518/1

Therefore the LCM of Fractions 898/517,954/972,883/821 is 378229518

Greatest Common Factor of 517,972,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,972,821 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 517,972,821 . The biggest common factor number is the GCF number.
So the greatest common factor 517,972,821 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 898/517, 954/972, 883/821

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 898/517, 954/972, 883/821?

Answer: LCM of Numerators as per given numbers 898/517, 954/972, 883/821 is

LCM of Numerators i.e. for 898,954,883 is 378229518

GCF of denominators i.e. for 517,972,821 is 1.

Thus, LCM of Fractions is 378229518.Finally, LCM of Fractions for 898/517, 954/972, 883/821 is 378229518.