Least Common Multiple of 7290/961, 1352/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7290/961, 1352/198 quickly i.e. 4928040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7290/961, 1352/198 is 4928040.

LCM(7290/961, 1352/198) = 4928040

LCM of 7290/961, 1352/198

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 7290/961,1352/198

Given numbers are 7290/961,1352/198

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 7290,1352

Least Common Multiple of Numerators i.e. LCM of 7290,1352 is 4928040.

GCF of Denominators means GCF of 961,198 as per the given fractions.

GCF of 961,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7290,1352

LCM of Fractions 7290/961,1352/198 is 4928040

2 7290, 1352
3645, 676

∴ So the LCM of the given numbers is 2 x 3645 x 676 = 4928040

Least Common Multiple of 7290,1352 with GCF Formula

Least Common Multiple of 7290,1352 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 7290,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7290,1352) = 2

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

GCF(7290,1352) x common factors =2 x 1 = 2

LCM(7290,1352) = ( 7290 × 1352 ) / 2

LCM(7290,1352) = 9856080 / 2

LCM(7290,1352) = 4928040


Lets's calculate GCF of 961,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4928040/1

Therefore the LCM of Fractions 7290/961,1352/198 is 4928040

Greatest Common Factor of 961,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,198 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

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 961,198 . The biggest common factor number is the GCF number.
So the greatest common factor 961,198 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 7290/961, 1352/198

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 7290/961, 1352/198?

Answer: LCM of Numerators as per given numbers 7290/961, 1352/198 is

LCM of Numerators i.e. for 7290,1352 is 4928040

GCF of denominators i.e. for 961,198 is 1.

Thus, LCM of Fractions is 4928040.Finally, LCM of Fractions for 7290/961, 1352/198 is 4928040.