Least Common Multiple of 75/993, 151/246, 378/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/993, 151/246, 378/213 quickly i.e. 475650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/993, 151/246, 378/213 is 475650.

LCM(75/993, 151/246, 378/213) = 475650

LCM of 75/993, 151/246, 378/213

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 75/993,151/246,378/213

Given numbers are 75/993,151/246,378/213

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 75,151,378

Least Common Multiple of Numerators i.e. LCM of 75,151,378 is 1426950.

GCF of Denominators means GCF of 993,246,213 as per the given fractions.

GCF of 993,246,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,151,378

LCM of Fractions 75/993,151/246,378/213 is 475650

3 75, 151, 378
25, 151, 126

∴ So the LCM of the given numbers is 3 x 25 x 151 x 126 = 1426950

Least Common Multiple of 75,151,378 with GCF Formula

Least Common Multiple of 75,151,378 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 75,151,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,151,378) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,151,378) x common factors =1 x 3 = 3

LCM(75,151,378) = ( 75 × 151 × 378 ) / 3

LCM(75,151,378) = 4280850 / 3

LCM(75,151,378) = 1426950


Lets's calculate GCF of 993,246,213

3 993, 246, 213
331, 82, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1426950/3

Therefore the LCM of Fractions 75/993,151/246,378/213 is 475650

Greatest Common Factor of 993,246,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,246,213 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 993,246,213 . The biggest common factor number is the GCF number.
So the greatest common factor 993,246,213 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 75/993, 151/246, 378/213

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 75/993, 151/246, 378/213?

Answer: LCM of Numerators as per given numbers 75/993, 151/246, 378/213 is

LCM of Numerators i.e. for 75,151,378 is 1426950

GCF of denominators i.e. for 993,246,213 is 3.

Thus, LCM of Fractions is 475650.Finally, LCM of Fractions for 75/993, 151/246, 378/213 is 475650.