Least Common Multiple of 837/58, 360/7511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/58, 360/7511 quickly i.e. 33480/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/58, 360/7511 is 33480/29.

LCM(837/58, 360/7511) = 33480/29

LCM of 837/58, 360/7511

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 837/58,360/7511

Given numbers are 837/58,360/7511

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 837,360

Least Common Multiple of Numerators i.e. LCM of 837,360 is 33480.

GCF of Denominators means GCF of 58,7511 as per the given fractions.

GCF of 58,7511 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,360

LCM of Fractions 837/58,360/7511 is 33480/29

3 837, 360
3 279, 120
93, 40

∴ So the LCM of the given numbers is 3 x 3 x 93 x 40 = 33480

Least Common Multiple of 837,360 with GCF Formula

Least Common Multiple of 837,360 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 837,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,360) = 9

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

GCF(837,360) x common factors =9 x 1 = 9

LCM(837,360) = ( 837 × 360 ) / 9

LCM(837,360) = 301320 / 9

LCM(837,360) = 33480


Lets's calculate GCF of 58,7511

29 58, 7511
2, 259

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33480/29

Therefore the LCM of Fractions 837/58,360/7511 is 33480/29

Greatest Common Factor of 58,7511 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,7511 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 7511

List of positive integer factors of 7511 that divides 7511 without a remainder.

1,7,29,37,203,259,1073,7511

Greatest Common Factor

We found the factors 58,7511 . The biggest common factor number is the GCF number.
So the greatest common factor 58,7511 is 29.


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 837/58, 360/7511

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 837/58, 360/7511?

Answer: LCM of Numerators as per given numbers 837/58, 360/7511 is

LCM of Numerators i.e. for 837,360 is 33480

GCF of denominators i.e. for 58,7511 is 29.

Thus, LCM of Fractions is 33480/29.Finally, LCM of Fractions for 837/58, 360/7511 is 33480/29.