Least Common Multiple of 335/260, 988/651, 143/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 335/260, 988/651, 143/684 quickly i.e. 3640780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 335/260, 988/651, 143/684 is 3640780.

LCM(335/260, 988/651, 143/684) = 3640780

LCM of 335/260, 988/651, 143/684

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 335/260,988/651,143/684

Given numbers are 335/260,988/651,143/684

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 335,988,143

Least Common Multiple of Numerators i.e. LCM of 335,988,143 is 3640780.

GCF of Denominators means GCF of 260,651,684 as per the given fractions.

GCF of 260,651,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 335,988,143

LCM of Fractions 335/260,988/651,143/684 is 3640780

13 335, 988, 143
335, 76, 11

∴ So the LCM of the given numbers is 13 x 335 x 76 x 11 = 3640780

Least Common Multiple of 335,988,143 with GCF Formula

Least Common Multiple of 335,988,143 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 335,988,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,988,143) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(335,988,143) x common factors =1 x 13 = 13

LCM(335,988,143) = ( 335 × 988 × 143 ) / 13

LCM(335,988,143) = 47330140 / 13

LCM(335,988,143) = 3640780


Lets's calculate GCF of 260,651,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3640780/1

Therefore the LCM of Fractions 335/260,988/651,143/684 is 3640780

Greatest Common Factor of 260,651,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,651,684 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 260,651,684 . The biggest common factor number is the GCF number.
So the greatest common factor 260,651,684 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 335/260, 988/651, 143/684

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 335/260, 988/651, 143/684?

Answer: LCM of Numerators as per given numbers 335/260, 988/651, 143/684 is

LCM of Numerators i.e. for 335,988,143 is 3640780

GCF of denominators i.e. for 260,651,684 is 1.

Thus, LCM of Fractions is 3640780.Finally, LCM of Fractions for 335/260, 988/651, 143/684 is 3640780.