Least Common Multiple of 37/260, 2965/1911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/260, 2965/1911 quickly i.e. 109705/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/260, 2965/1911 is 109705/13.

LCM(37/260, 2965/1911) = 109705/13

LCM of 37/260, 2965/1911

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 37/260,2965/1911

Given numbers are 37/260,2965/1911

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 37,2965

Least Common Multiple of Numerators i.e. LCM of 37,2965 is 109705.

GCF of Denominators means GCF of 260,1911 as per the given fractions.

GCF of 260,1911 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,2965

LCM of Fractions 37/260,2965/1911 is 109705/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 109705

Least Common Multiple of 37,2965 with GCF Formula

Least Common Multiple of 37,2965 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 37,2965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,2965) = 1

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

GCF(37,2965) x common factors =1 x 1 = 1

LCM(37,2965) = ( 37 × 2965 ) / 1

LCM(37,2965) = 109705 / 1

LCM(37,2965) = 109705


Lets's calculate GCF of 260,1911

13 260, 1911
20, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109705/13

Therefore the LCM of Fractions 37/260,2965/1911 is 109705/13

Greatest Common Factor of 260,1911 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,1911 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 1911

List of positive integer factors of 1911 that divides 1911 without a remainder.

1,3,7,13,21,39,49,91,147,273,637,1911

Greatest Common Factor

We found the factors 260,1911 . The biggest common factor number is the GCF number.
So the greatest common factor 260,1911 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 37/260, 2965/1911

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 37/260, 2965/1911?

Answer: LCM of Numerators as per given numbers 37/260, 2965/1911 is

LCM of Numerators i.e. for 37,2965 is 109705

GCF of denominators i.e. for 260,1911 is 13.

Thus, LCM of Fractions is 109705/13.Finally, LCM of Fractions for 37/260, 2965/1911 is 109705/13.