Least Common Multiple of 290/643, 5926/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 290/643, 5926/152 quickly i.e. 859270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/643, 5926/152 is 859270.

LCM(290/643, 5926/152) = 859270

LCM of 290/643, 5926/152

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 290/643,5926/152

Given numbers are 290/643,5926/152

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 290,5926

Least Common Multiple of Numerators i.e. LCM of 290,5926 is 859270.

GCF of Denominators means GCF of 643,152 as per the given fractions.

GCF of 643,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,5926

LCM of Fractions 290/643,5926/152 is 859270

2 290, 5926
145, 2963

∴ So the LCM of the given numbers is 2 x 145 x 2963 = 859270

Least Common Multiple of 290,5926 with GCF Formula

Least Common Multiple of 290,5926 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 290,5926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,5926) = 2

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

GCF(290,5926) x common factors =2 x 1 = 2

LCM(290,5926) = ( 290 × 5926 ) / 2

LCM(290,5926) = 1718540 / 2

LCM(290,5926) = 859270


Lets's calculate GCF of 643,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859270/1

Therefore the LCM of Fractions 290/643,5926/152 is 859270

Greatest Common Factor of 643,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,152 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 643,152 . The biggest common factor number is the GCF number.
So the greatest common factor 643,152 is 1.


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 290/643, 5926/152

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 290/643, 5926/152?

Answer: LCM of Numerators as per given numbers 290/643, 5926/152 is

LCM of Numerators i.e. for 290,5926 is 859270

GCF of denominators i.e. for 643,152 is 1.

Thus, LCM of Fractions is 859270.Finally, LCM of Fractions for 290/643, 5926/152 is 859270.