Least Common Multiple of 910/91, 2988/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 910/91, 2988/585 quickly i.e. 104580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 910/91, 2988/585 is 104580.

LCM(910/91, 2988/585) = 104580

LCM of 910/91, 2988/585

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 910/91,2988/585

Given numbers are 910/91,2988/585

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 910,2988

Least Common Multiple of Numerators i.e. LCM of 910,2988 is 1359540.

GCF of Denominators means GCF of 91,585 as per the given fractions.

GCF of 91,585 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 910,2988

LCM of Fractions 910/91,2988/585 is 104580

2 910, 2988
455, 1494

∴ So the LCM of the given numbers is 2 x 455 x 1494 = 1359540

Least Common Multiple of 910,2988 with GCF Formula

Least Common Multiple of 910,2988 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 910,2988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,2988) = 2

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

GCF(910,2988) x common factors =2 x 1 = 2

LCM(910,2988) = ( 910 × 2988 ) / 2

LCM(910,2988) = 2719080 / 2

LCM(910,2988) = 1359540


Lets's calculate GCF of 91,585

13 91, 585
7, 45

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1359540/13

Therefore the LCM of Fractions 910/91,2988/585 is 104580

Greatest Common Factor of 91,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,585 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 91,585 . The biggest common factor number is the GCF number.
So the greatest common factor 91,585 is 13.


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 910/91, 2988/585

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 910/91, 2988/585?

Answer: LCM of Numerators as per given numbers 910/91, 2988/585 is

LCM of Numerators i.e. for 910,2988 is 1359540

GCF of denominators i.e. for 91,585 is 13.

Thus, LCM of Fractions is 104580.Finally, LCM of Fractions for 910/91, 2988/585 is 104580.