Least Common Multiple of 9884/959, 5460/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9884/959, 5460/805 quickly i.e. 275340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9884/959, 5460/805 is 275340.

LCM(9884/959, 5460/805) = 275340

LCM of 9884/959, 5460/805

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 9884/959,5460/805

Given numbers are 9884/959,5460/805

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 9884,5460

Least Common Multiple of Numerators i.e. LCM of 9884,5460 is 1927380.

GCF of Denominators means GCF of 959,805 as per the given fractions.

GCF of 959,805 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9884,5460

LCM of Fractions 9884/959,5460/805 is 275340

2 9884, 5460
2 4942, 2730
7 2471, 1365
353, 195

∴ So the LCM of the given numbers is 2 x 2 x 7 x 353 x 195 = 1927380

Least Common Multiple of 9884,5460 with GCF Formula

Least Common Multiple of 9884,5460 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 9884,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9884,5460) = 28

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

GCF(9884,5460) x common factors =28 x 1 = 28

LCM(9884,5460) = ( 9884 × 5460 ) / 28

LCM(9884,5460) = 53966640 / 28

LCM(9884,5460) = 1927380


Lets's calculate GCF of 959,805

7 959, 805
137, 115

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1927380/7

Therefore the LCM of Fractions 9884/959,5460/805 is 275340

Greatest Common Factor of 959,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,805 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 959,805 . The biggest common factor number is the GCF number.
So the greatest common factor 959,805 is 7.


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 9884/959, 5460/805

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 9884/959, 5460/805?

Answer: LCM of Numerators as per given numbers 9884/959, 5460/805 is

LCM of Numerators i.e. for 9884,5460 is 1927380

GCF of denominators i.e. for 959,805 is 7.

Thus, LCM of Fractions is 275340.Finally, LCM of Fractions for 9884/959, 5460/805 is 275340.