Least Common Multiple of 5842/249, 5635/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5842/249, 5635/962 quickly i.e. 1431290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5842/249, 5635/962 is 1431290.

LCM(5842/249, 5635/962) = 1431290

LCM of 5842/249, 5635/962

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 5842/249,5635/962

Given numbers are 5842/249,5635/962

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 5842,5635

Least Common Multiple of Numerators i.e. LCM of 5842,5635 is 1431290.

GCF of Denominators means GCF of 249,962 as per the given fractions.

GCF of 249,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5842,5635

LCM of Fractions 5842/249,5635/962 is 1431290

23 5842, 5635
254, 245

∴ So the LCM of the given numbers is 23 x 254 x 245 = 1431290

Least Common Multiple of 5842,5635 with GCF Formula

Least Common Multiple of 5842,5635 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 5842,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5842,5635) = 23

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

GCF(5842,5635) x common factors =23 x 1 = 23

LCM(5842,5635) = ( 5842 × 5635 ) / 23

LCM(5842,5635) = 32919670 / 23

LCM(5842,5635) = 1431290


Lets's calculate GCF of 249,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1431290/1

Therefore the LCM of Fractions 5842/249,5635/962 is 1431290

Greatest Common Factor of 249,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,962 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 249,962 . The biggest common factor number is the GCF number.
So the greatest common factor 249,962 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 5842/249, 5635/962

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 5842/249, 5635/962?

Answer: LCM of Numerators as per given numbers 5842/249, 5635/962 is

LCM of Numerators i.e. for 5842,5635 is 1431290

GCF of denominators i.e. for 249,962 is 1.

Thus, LCM of Fractions is 1431290.Finally, LCM of Fractions for 5842/249, 5635/962 is 1431290.