Least Common Multiple of 67/929, 575/432, 558/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/929, 575/432, 558/412 quickly i.e. 21496950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/929, 575/432, 558/412 is 21496950.

LCM(67/929, 575/432, 558/412) = 21496950

LCM of 67/929, 575/432, 558/412

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 67/929,575/432,558/412

Given numbers are 67/929,575/432,558/412

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 67,575,558

Least Common Multiple of Numerators i.e. LCM of 67,575,558 is 21496950.

GCF of Denominators means GCF of 929,432,412 as per the given fractions.

GCF of 929,432,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,575,558

LCM of Fractions 67/929,575/432,558/412 is 21496950

Given numbers has no common factors except 1. So, there LCM is their product i.e 21496950

Least Common Multiple of 67,575,558 with GCF Formula

Least Common Multiple of 67,575,558 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 67,575,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,575,558) = 1

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

GCF(67,575,558) x common factors =1 x 1 = 1

LCM(67,575,558) = ( 67 × 575 × 558 ) / 1

LCM(67,575,558) = 21496950 / 1

LCM(67,575,558) = 21496950


Lets's calculate GCF of 929,432,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21496950/1

Therefore the LCM of Fractions 67/929,575/432,558/412 is 21496950

Greatest Common Factor of 929,432,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,432,412 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 929,432,412 . The biggest common factor number is the GCF number.
So the greatest common factor 929,432,412 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 67/929, 575/432, 558/412

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 67/929, 575/432, 558/412?

Answer: LCM of Numerators as per given numbers 67/929, 575/432, 558/412 is

LCM of Numerators i.e. for 67,575,558 is 21496950

GCF of denominators i.e. for 929,432,412 is 1.

Thus, LCM of Fractions is 21496950.Finally, LCM of Fractions for 67/929, 575/432, 558/412 is 21496950.