Least Common Multiple of 842/868, 6767/1772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/868, 6767/1772 quickly i.e. 5697814/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/868, 6767/1772 is 5697814/4.

LCM(842/868, 6767/1772) = 5697814/4

LCM of 842/868, 6767/1772

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 842/868,6767/1772

Given numbers are 842/868,6767/1772

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 842,6767

Least Common Multiple of Numerators i.e. LCM of 842,6767 is 5697814.

GCF of Denominators means GCF of 868,1772 as per the given fractions.

GCF of 868,1772 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,6767

LCM of Fractions 842/868,6767/1772 is 5697814/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 5697814

Least Common Multiple of 842,6767 with GCF Formula

Least Common Multiple of 842,6767 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 842,6767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,6767) = 1

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

GCF(842,6767) x common factors =1 x 1 = 1

LCM(842,6767) = ( 842 × 6767 ) / 1

LCM(842,6767) = 5697814 / 1

LCM(842,6767) = 5697814


Lets's calculate GCF of 868,1772

2 868, 1772
2 434, 886
217, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5697814/4

Therefore the LCM of Fractions 842/868,6767/1772 is 5697814/4

Greatest Common Factor of 868,1772 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,1772 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 1772

List of positive integer factors of 1772 that divides 1772 without a remainder.

1,2,4,443,886,1772

Greatest Common Factor

We found the factors 868,1772 . The biggest common factor number is the GCF number.
So the greatest common factor 868,1772 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 842/868, 6767/1772

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 842/868, 6767/1772?

Answer: LCM of Numerators as per given numbers 842/868, 6767/1772 is

LCM of Numerators i.e. for 842,6767 is 5697814

GCF of denominators i.e. for 868,1772 is 4.

Thus, LCM of Fractions is 5697814/4.Finally, LCM of Fractions for 842/868, 6767/1772 is 5697814/4.