Least Common Multiple of 946/867, 221/411, 593/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/867, 221/411, 593/930 quickly i.e. 123976138/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/867, 221/411, 593/930 is 123976138/3.

LCM(946/867, 221/411, 593/930) = 123976138/3

LCM of 946/867, 221/411, 593/930

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 946/867,221/411,593/930

Given numbers are 946/867,221/411,593/930

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 946,221,593

Least Common Multiple of Numerators i.e. LCM of 946,221,593 is 123976138.

GCF of Denominators means GCF of 867,411,930 as per the given fractions.

GCF of 867,411,930 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,221,593

LCM of Fractions 946/867,221/411,593/930 is 123976138/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 123976138

Least Common Multiple of 946,221,593 with GCF Formula

Least Common Multiple of 946,221,593 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 946,221,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,221,593) = 1

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

GCF(946,221,593) x common factors =1 x 1 = 1

LCM(946,221,593) = ( 946 × 221 × 593 ) / 1

LCM(946,221,593) = 123976138 / 1

LCM(946,221,593) = 123976138


Lets's calculate GCF of 867,411,930

3 867, 411, 930
289, 137, 310

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123976138/3

Therefore the LCM of Fractions 946/867,221/411,593/930 is 123976138/3

Greatest Common Factor of 867,411,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,411,930 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 867,411,930 . The biggest common factor number is the GCF number.
So the greatest common factor 867,411,930 is 3.


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 946/867, 221/411, 593/930

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 946/867, 221/411, 593/930?

Answer: LCM of Numerators as per given numbers 946/867, 221/411, 593/930 is

LCM of Numerators i.e. for 946,221,593 is 123976138

GCF of denominators i.e. for 867,411,930 is 3.

Thus, LCM of Fractions is 123976138/3.Finally, LCM of Fractions for 946/867, 221/411, 593/930 is 123976138/3.