Least Common Multiple of 3110/970, 5891/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3110/970, 5891/690 quickly i.e. 1832101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3110/970, 5891/690 is 1832101.

LCM(3110/970, 5891/690) = 1832101

LCM of 3110/970, 5891/690

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 3110/970,5891/690

Given numbers are 3110/970,5891/690

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 3110,5891

Least Common Multiple of Numerators i.e. LCM of 3110,5891 is 18321010.

GCF of Denominators means GCF of 970,690 as per the given fractions.

GCF of 970,690 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3110,5891

LCM of Fractions 3110/970,5891/690 is 1832101

Given numbers has no common factors except 1. So, there LCM is their product i.e 18321010

Least Common Multiple of 3110,5891 with GCF Formula

Least Common Multiple of 3110,5891 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 3110,5891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3110,5891) = 1

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

GCF(3110,5891) x common factors =1 x 1 = 1

LCM(3110,5891) = ( 3110 × 5891 ) / 1

LCM(3110,5891) = 18321010 / 1

LCM(3110,5891) = 18321010


Lets's calculate GCF of 970,690

2 970, 690
5 485, 345
97, 69

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18321010/10

Therefore the LCM of Fractions 3110/970,5891/690 is 1832101

Greatest Common Factor of 970,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,690 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 970,690 . The biggest common factor number is the GCF number.
So the greatest common factor 970,690 is 10.


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 3110/970, 5891/690

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 3110/970, 5891/690?

Answer: LCM of Numerators as per given numbers 3110/970, 5891/690 is

LCM of Numerators i.e. for 3110,5891 is 18321010

GCF of denominators i.e. for 970,690 is 10.

Thus, LCM of Fractions is 1832101.Finally, LCM of Fractions for 3110/970, 5891/690 is 1832101.