Least Common Multiple of 10/631, 85/331, 823/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/631, 85/331, 823/923 quickly i.e. 139910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/631, 85/331, 823/923 is 139910.

LCM(10/631, 85/331, 823/923) = 139910

LCM of 10/631, 85/331, 823/923

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 10/631,85/331,823/923

Given numbers are 10/631,85/331,823/923

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 10,85,823

Least Common Multiple of Numerators i.e. LCM of 10,85,823 is 139910.

GCF of Denominators means GCF of 631,331,923 as per the given fractions.

GCF of 631,331,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,85,823

LCM of Fractions 10/631,85/331,823/923 is 139910

5 10, 85, 823
2, 17, 823

∴ So the LCM of the given numbers is 5 x 2 x 17 x 823 = 139910

Least Common Multiple of 10,85,823 with GCF Formula

Least Common Multiple of 10,85,823 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 10,85,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,85,823) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(10,85,823) x common factors =1 x 5 = 5

LCM(10,85,823) = ( 10 × 85 × 823 ) / 5

LCM(10,85,823) = 699550 / 5

LCM(10,85,823) = 139910


Lets's calculate GCF of 631,331,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139910/1

Therefore the LCM of Fractions 10/631,85/331,823/923 is 139910

Greatest Common Factor of 631,331,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,331,923 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 631,331,923 . The biggest common factor number is the GCF number.
So the greatest common factor 631,331,923 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/631, 85/331, 823/923

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 10/631, 85/331, 823/923?

Answer: LCM of Numerators as per given numbers 10/631, 85/331, 823/923 is

LCM of Numerators i.e. for 10,85,823 is 139910

GCF of denominators i.e. for 631,331,923 is 1.

Thus, LCM of Fractions is 139910.Finally, LCM of Fractions for 10/631, 85/331, 823/923 is 139910.