Least Common Multiple of 67/931, 973/511, 824/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/931, 973/511, 824/120 quickly i.e. 53717384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/931, 973/511, 824/120 is 53717384.

LCM(67/931, 973/511, 824/120) = 53717384

LCM of 67/931, 973/511, 824/120

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 67/931,973/511,824/120

Given numbers are 67/931,973/511,824/120

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 67,973,824

Least Common Multiple of Numerators i.e. LCM of 67,973,824 is 53717384.

GCF of Denominators means GCF of 931,511,120 as per the given fractions.

GCF of 931,511,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,973,824

LCM of Fractions 67/931,973/511,824/120 is 53717384

Given numbers has no common factors except 1. So, there LCM is their product i.e 53717384

Least Common Multiple of 67,973,824 with GCF Formula

Least Common Multiple of 67,973,824 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 67,973,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,973,824) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,973,824) x common factors =1 x 1 = 1

LCM(67,973,824) = ( 67 × 973 × 824 ) / 1

LCM(67,973,824) = 53717384 / 1

LCM(67,973,824) = 53717384


Lets's calculate GCF of 931,511,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53717384/1

Therefore the LCM of Fractions 67/931,973/511,824/120 is 53717384

Greatest Common Factor of 931,511,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,511,120 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 931,511,120 . The biggest common factor number is the GCF number.
So the greatest common factor 931,511,120 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 67/931, 973/511, 824/120

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 67/931, 973/511, 824/120?

Answer: LCM of Numerators as per given numbers 67/931, 973/511, 824/120 is

LCM of Numerators i.e. for 67,973,824 is 53717384

GCF of denominators i.e. for 931,511,120 is 1.

Thus, LCM of Fractions is 53717384.Finally, LCM of Fractions for 67/931, 973/511, 824/120 is 53717384.