Least Common Multiple of 1958/411, 5071/7291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1958/411, 5071/7291 quickly i.e. 902638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1958/411, 5071/7291 is 902638.

LCM(1958/411, 5071/7291) = 902638

LCM of 1958/411, 5071/7291

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 1958/411,5071/7291

Given numbers are 1958/411,5071/7291

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 1958,5071

Least Common Multiple of Numerators i.e. LCM of 1958,5071 is 902638.

GCF of Denominators means GCF of 411,7291 as per the given fractions.

GCF of 411,7291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1958,5071

LCM of Fractions 1958/411,5071/7291 is 902638

11 1958, 5071
178, 461

∴ So the LCM of the given numbers is 11 x 178 x 461 = 902638

Least Common Multiple of 1958,5071 with GCF Formula

Least Common Multiple of 1958,5071 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 1958,5071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1958,5071) = 11

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

GCF(1958,5071) x common factors =11 x 1 = 11

LCM(1958,5071) = ( 1958 × 5071 ) / 11

LCM(1958,5071) = 9929018 / 11

LCM(1958,5071) = 902638


Lets's calculate GCF of 411,7291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 902638/1

Therefore the LCM of Fractions 1958/411,5071/7291 is 902638

Greatest Common Factor of 411,7291 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,7291 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 7291

List of positive integer factors of 7291 that divides 7291 without a remainder.

1,23,317,7291

Greatest Common Factor

We found the factors 411,7291 . The biggest common factor number is the GCF number.
So the greatest common factor 411,7291 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 1958/411, 5071/7291

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 1958/411, 5071/7291?

Answer: LCM of Numerators as per given numbers 1958/411, 5071/7291 is

LCM of Numerators i.e. for 1958,5071 is 902638

GCF of denominators i.e. for 411,7291 is 1.

Thus, LCM of Fractions is 902638.Finally, LCM of Fractions for 1958/411, 5071/7291 is 902638.