Least Common Multiple of 5141/858, 6009/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5141/858, 6009/456 quickly i.e. 30892269/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5141/858, 6009/456 is 30892269/6.

LCM(5141/858, 6009/456) = 30892269/6

LCM of 5141/858, 6009/456

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 5141/858,6009/456

Given numbers are 5141/858,6009/456

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 5141,6009

Least Common Multiple of Numerators i.e. LCM of 5141,6009 is 30892269.

GCF of Denominators means GCF of 858,456 as per the given fractions.

GCF of 858,456 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5141,6009

LCM of Fractions 5141/858,6009/456 is 30892269/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 30892269

Least Common Multiple of 5141,6009 with GCF Formula

Least Common Multiple of 5141,6009 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 5141,6009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5141,6009) = 1

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

GCF(5141,6009) x common factors =1 x 1 = 1

LCM(5141,6009) = ( 5141 × 6009 ) / 1

LCM(5141,6009) = 30892269 / 1

LCM(5141,6009) = 30892269


Lets's calculate GCF of 858,456

2 858, 456
3 429, 228
143, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30892269/6

Therefore the LCM of Fractions 5141/858,6009/456 is 30892269/6

Greatest Common Factor of 858,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,456 By Matching Biggest Common Factor Method

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

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 858,456 . The biggest common factor number is the GCF number.
So the greatest common factor 858,456 is 6.


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 5141/858, 6009/456

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 5141/858, 6009/456?

Answer: LCM of Numerators as per given numbers 5141/858, 6009/456 is

LCM of Numerators i.e. for 5141,6009 is 30892269

GCF of denominators i.e. for 858,456 is 6.

Thus, LCM of Fractions is 30892269/6.Finally, LCM of Fractions for 5141/858, 6009/456 is 30892269/6.