Least Common Multiple of 67/228, 861/941, 691/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/228, 861/941, 691/879 quickly i.e. 39861717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/228, 861/941, 691/879 is 39861717.

LCM(67/228, 861/941, 691/879) = 39861717

LCM of 67/228, 861/941, 691/879

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 67/228,861/941,691/879

Given numbers are 67/228,861/941,691/879

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 67,861,691

Least Common Multiple of Numerators i.e. LCM of 67,861,691 is 39861717.

GCF of Denominators means GCF of 228,941,879 as per the given fractions.

GCF of 228,941,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,861,691

LCM of Fractions 67/228,861/941,691/879 is 39861717

Given numbers has no common factors except 1. So, there LCM is their product i.e 39861717

Least Common Multiple of 67,861,691 with GCF Formula

Least Common Multiple of 67,861,691 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 67,861,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,861,691) = 1

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

GCF(67,861,691) x common factors =1 x 1 = 1

LCM(67,861,691) = ( 67 × 861 × 691 ) / 1

LCM(67,861,691) = 39861717 / 1

LCM(67,861,691) = 39861717


Lets's calculate GCF of 228,941,879

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39861717/1

Therefore the LCM of Fractions 67/228,861/941,691/879 is 39861717

Greatest Common Factor of 228,941,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,941,879 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 228,941,879 . The biggest common factor number is the GCF number.
So the greatest common factor 228,941,879 is 1.


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 67/228, 861/941, 691/879

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 67/228, 861/941, 691/879?

Answer: LCM of Numerators as per given numbers 67/228, 861/941, 691/879 is

LCM of Numerators i.e. for 67,861,691 is 39861717

GCF of denominators i.e. for 228,941,879 is 1.

Thus, LCM of Fractions is 39861717.Finally, LCM of Fractions for 67/228, 861/941, 691/879 is 39861717.