Least Common Multiple of 68/216, 1869/7868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/216, 1869/7868 quickly i.e. 31773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/216, 1869/7868 is 31773.

LCM(68/216, 1869/7868) = 31773

LCM of 68/216, 1869/7868

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 68/216,1869/7868

Given numbers are 68/216,1869/7868

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 68,1869

Least Common Multiple of Numerators i.e. LCM of 68,1869 is 127092.

GCF of Denominators means GCF of 216,7868 as per the given fractions.

GCF of 216,7868 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,1869

LCM of Fractions 68/216,1869/7868 is 31773

Given numbers has no common factors except 1. So, there LCM is their product i.e 127092

Least Common Multiple of 68,1869 with GCF Formula

Least Common Multiple of 68,1869 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 68,1869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1869) = 1

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

GCF(68,1869) x common factors =1 x 1 = 1

LCM(68,1869) = ( 68 × 1869 ) / 1

LCM(68,1869) = 127092 / 1

LCM(68,1869) = 127092


Lets's calculate GCF of 216,7868

2 216, 7868
2 108, 3934
54, 1967

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127092/4

Therefore the LCM of Fractions 68/216,1869/7868 is 31773

Greatest Common Factor of 216,7868 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,7868 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1,2,4,7,14,28,281,562,1124,1967,3934,7868

Greatest Common Factor

We found the factors 216,7868 . The biggest common factor number is the GCF number.
So the greatest common factor 216,7868 is 4.


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 68/216, 1869/7868

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 68/216, 1869/7868?

Answer: LCM of Numerators as per given numbers 68/216, 1869/7868 is

LCM of Numerators i.e. for 68,1869 is 127092

GCF of denominators i.e. for 216,7868 is 4.

Thus, LCM of Fractions is 31773.Finally, LCM of Fractions for 68/216, 1869/7868 is 31773.