Least Common Multiple of 68/910, 1981/1869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/910, 1981/1869 quickly i.e. 19244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/910, 1981/1869 is 19244.

LCM(68/910, 1981/1869) = 19244

LCM of 68/910, 1981/1869

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 68/910,1981/1869

Given numbers are 68/910,1981/1869

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 68,1981

Least Common Multiple of Numerators i.e. LCM of 68,1981 is 134708.

GCF of Denominators means GCF of 910,1869 as per the given fractions.

GCF of 910,1869 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,1981

LCM of Fractions 68/910,1981/1869 is 19244

Given numbers has no common factors except 1. So, there LCM is their product i.e 134708

Least Common Multiple of 68,1981 with GCF Formula

Least Common Multiple of 68,1981 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 68,1981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1981) = 1

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

GCF(68,1981) x common factors =1 x 1 = 1

LCM(68,1981) = ( 68 × 1981 ) / 1

LCM(68,1981) = 134708 / 1

LCM(68,1981) = 134708


Lets's calculate GCF of 910,1869

7 910, 1869
130, 267

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134708/7

Therefore the LCM of Fractions 68/910,1981/1869 is 19244

Greatest Common Factor of 910,1869 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,1869 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1,3,7,21,89,267,623,1869

Greatest Common Factor

We found the factors 910,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 910,1869 is 7.


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 68/910, 1981/1869

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 68/910, 1981/1869?

Answer: LCM of Numerators as per given numbers 68/910, 1981/1869 is

LCM of Numerators i.e. for 68,1981 is 134708

GCF of denominators i.e. for 910,1869 is 7.

Thus, LCM of Fractions is 19244.Finally, LCM of Fractions for 68/910, 1981/1869 is 19244.