Least Common Multiple of 768/236, 3571/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/236, 3571/198 quickly i.e. 1371264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/236, 3571/198 is 1371264.

LCM(768/236, 3571/198) = 1371264

LCM of 768/236, 3571/198

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 768/236,3571/198

Given numbers are 768/236,3571/198

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 768,3571

Least Common Multiple of Numerators i.e. LCM of 768,3571 is 2742528.

GCF of Denominators means GCF of 236,198 as per the given fractions.

GCF of 236,198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,3571

LCM of Fractions 768/236,3571/198 is 1371264

Given numbers has no common factors except 1. So, there LCM is their product i.e 2742528

Least Common Multiple of 768,3571 with GCF Formula

Least Common Multiple of 768,3571 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 768,3571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,3571) = 1

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

GCF(768,3571) x common factors =1 x 1 = 1

LCM(768,3571) = ( 768 × 3571 ) / 1

LCM(768,3571) = 2742528 / 1

LCM(768,3571) = 2742528


Lets's calculate GCF of 236,198

2 236, 198
118, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2742528/2

Therefore the LCM of Fractions 768/236,3571/198 is 1371264

Greatest Common Factor of 236,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,198 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 236,198 . The biggest common factor number is the GCF number.
So the greatest common factor 236,198 is 2.


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 768/236, 3571/198

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 768/236, 3571/198?

Answer: LCM of Numerators as per given numbers 768/236, 3571/198 is

LCM of Numerators i.e. for 768,3571 is 2742528

GCF of denominators i.e. for 236,198 is 2.

Thus, LCM of Fractions is 1371264.Finally, LCM of Fractions for 768/236, 3571/198 is 1371264.