Least Common Multiple of 124/67, 142/91, 285/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/67, 142/91, 285/929 quickly i.e. 2509140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/67, 142/91, 285/929 is 2509140.

LCM(124/67, 142/91, 285/929) = 2509140

LCM of 124/67, 142/91, 285/929

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 124/67,142/91,285/929

Given numbers are 124/67,142/91,285/929

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 124,142,285

Least Common Multiple of Numerators i.e. LCM of 124,142,285 is 2509140.

GCF of Denominators means GCF of 67,91,929 as per the given fractions.

GCF of 67,91,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,142,285

LCM of Fractions 124/67,142/91,285/929 is 2509140

2 124, 142, 285
62, 71, 285

∴ So the LCM of the given numbers is 2 x 62 x 71 x 285 = 2509140

Least Common Multiple of 124,142,285 with GCF Formula

Least Common Multiple of 124,142,285 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 124,142,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,142,285) = 1

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

GCF(124,142,285) x common factors =1 x 2 = 2

LCM(124,142,285) = ( 124 × 142 × 285 ) / 2

LCM(124,142,285) = 5018280 / 2

LCM(124,142,285) = 2509140


Lets's calculate GCF of 67,91,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2509140/1

Therefore the LCM of Fractions 124/67,142/91,285/929 is 2509140

Greatest Common Factor of 67,91,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,91,929 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 929

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

1,929

Greatest Common Factor

We found the factors 67,91,929 . The biggest common factor number is the GCF number.
So the greatest common factor 67,91,929 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 124/67, 142/91, 285/929

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 124/67, 142/91, 285/929?

Answer: LCM of Numerators as per given numbers 124/67, 142/91, 285/929 is

LCM of Numerators i.e. for 124,142,285 is 2509140

GCF of denominators i.e. for 67,91,929 is 1.

Thus, LCM of Fractions is 2509140.Finally, LCM of Fractions for 124/67, 142/91, 285/929 is 2509140.