Least Common Multiple of 141/402, 413/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 141/402, 413/858 quickly i.e. 58233/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/402, 413/858 is 58233/6.

LCM(141/402, 413/858) = 58233/6

LCM of 141/402, 413/858

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 141/402,413/858

Given numbers are 141/402,413/858

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 141,413

Least Common Multiple of Numerators i.e. LCM of 141,413 is 58233.

GCF of Denominators means GCF of 402,858 as per the given fractions.

GCF of 402,858 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,413

LCM of Fractions 141/402,413/858 is 58233/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 58233

Least Common Multiple of 141,413 with GCF Formula

Least Common Multiple of 141,413 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 141,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,413) = 1

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

GCF(141,413) x common factors =1 x 1 = 1

LCM(141,413) = ( 141 × 413 ) / 1

LCM(141,413) = 58233 / 1

LCM(141,413) = 58233


Lets's calculate GCF of 402,858

2 402, 858
3 201, 429
67, 143

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58233/6

Therefore the LCM of Fractions 141/402,413/858 is 58233/6

Greatest Common Factor of 402,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,858 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 402,858 . The biggest common factor number is the GCF number.
So the greatest common factor 402,858 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 141/402, 413/858

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 141/402, 413/858?

Answer: LCM of Numerators as per given numbers 141/402, 413/858 is

LCM of Numerators i.e. for 141,413 is 58233

GCF of denominators i.e. for 402,858 is 6.

Thus, LCM of Fractions is 58233/6.Finally, LCM of Fractions for 141/402, 413/858 is 58233/6.