Least Common Multiple of 31/848, 210/624, 552/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/848, 210/624, 552/801 quickly i.e. 598920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/848, 210/624, 552/801 is 598920.

LCM(31/848, 210/624, 552/801) = 598920

LCM of 31/848, 210/624, 552/801

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 31/848,210/624,552/801

Given numbers are 31/848,210/624,552/801

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 31,210,552

Least Common Multiple of Numerators i.e. LCM of 31,210,552 is 598920.

GCF of Denominators means GCF of 848,624,801 as per the given fractions.

GCF of 848,624,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,210,552

LCM of Fractions 31/848,210/624,552/801 is 598920

2 31, 210, 552
3 31, 105, 276
31, 35, 92

∴ So the LCM of the given numbers is 2 x 3 x 31 x 35 x 92 = 598920

Least Common Multiple of 31,210,552 with GCF Formula

Least Common Multiple of 31,210,552 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 31,210,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,210,552) = 1

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

GCF(31,210,552) x common factors =1 x 6 = 6

LCM(31,210,552) = ( 31 × 210 × 552 ) / 6

LCM(31,210,552) = 3593520 / 6

LCM(31,210,552) = 598920


Lets's calculate GCF of 848,624,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598920/1

Therefore the LCM of Fractions 31/848,210/624,552/801 is 598920

Greatest Common Factor of 848,624,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,624,801 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 848,624,801 . The biggest common factor number is the GCF number.
So the greatest common factor 848,624,801 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 31/848, 210/624, 552/801

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 31/848, 210/624, 552/801?

Answer: LCM of Numerators as per given numbers 31/848, 210/624, 552/801 is

LCM of Numerators i.e. for 31,210,552 is 598920

GCF of denominators i.e. for 848,624,801 is 1.

Thus, LCM of Fractions is 598920.Finally, LCM of Fractions for 31/848, 210/624, 552/801 is 598920.