Least Common Multiple of 260/147, 902/104, 988/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/147, 902/104, 988/231 quickly i.e. 2227940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/147, 902/104, 988/231 is 2227940.

LCM(260/147, 902/104, 988/231) = 2227940

LCM of 260/147, 902/104, 988/231

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 260/147,902/104,988/231

Given numbers are 260/147,902/104,988/231

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 260,902,988

Least Common Multiple of Numerators i.e. LCM of 260,902,988 is 2227940.

GCF of Denominators means GCF of 147,104,231 as per the given fractions.

GCF of 147,104,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,902,988

LCM of Fractions 260/147,902/104,988/231 is 2227940

2 260, 902, 988
2 130, 451, 494
13 65, 451, 247
5, 451, 19

∴ So the LCM of the given numbers is 2 x 2 x 13 x 5 x 451 x 19 = 2227940

Least Common Multiple of 260,902,988 with GCF Formula

Least Common Multiple of 260,902,988 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 260,902,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,902,988) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(260,902,988) x common factors =2 x 52 = 104

LCM(260,902,988) = ( 260 × 902 × 988 ) / 104

LCM(260,902,988) = 231705760 / 104

LCM(260,902,988) = 2227940


Lets's calculate GCF of 147,104,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2227940/1

Therefore the LCM of Fractions 260/147,902/104,988/231 is 2227940

Greatest Common Factor of 147,104,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,104,231 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 147,104,231 . The biggest common factor number is the GCF number.
So the greatest common factor 147,104,231 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 260/147, 902/104, 988/231

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 260/147, 902/104, 988/231?

Answer: LCM of Numerators as per given numbers 260/147, 902/104, 988/231 is

LCM of Numerators i.e. for 260,902,988 is 2227940

GCF of denominators i.e. for 147,104,231 is 1.

Thus, LCM of Fractions is 2227940.Finally, LCM of Fractions for 260/147, 902/104, 988/231 is 2227940.