Least Common Multiple of 867/684, 7707/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 867/684, 7707/260 quickly i.e. 2227323/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/684, 7707/260 is 2227323/4.

LCM(867/684, 7707/260) = 2227323/4

LCM of 867/684, 7707/260

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 867/684,7707/260

Given numbers are 867/684,7707/260

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 867,7707

Least Common Multiple of Numerators i.e. LCM of 867,7707 is 2227323.

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

GCF of 684,260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,7707

LCM of Fractions 867/684,7707/260 is 2227323/4

3 867, 7707
289, 2569

∴ So the LCM of the given numbers is 3 x 289 x 2569 = 2227323

Least Common Multiple of 867,7707 with GCF Formula

Least Common Multiple of 867,7707 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 867,7707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,7707) = 3

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

GCF(867,7707) x common factors =3 x 1 = 3

LCM(867,7707) = ( 867 × 7707 ) / 3

LCM(867,7707) = 6681969 / 3

LCM(867,7707) = 2227323


Lets's calculate GCF of 684,260

2 684, 260
2 342, 130
171, 65

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2227323/4

Therefore the LCM of Fractions 867/684,7707/260 is 2227323/4

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

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

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

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

Greatest Common Factor

We found the factors 684,260 . The biggest common factor number is the GCF number.
So the greatest common factor 684,260 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 867/684, 7707/260

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 867/684, 7707/260?

Answer: LCM of Numerators as per given numbers 867/684, 7707/260 is

LCM of Numerators i.e. for 867,7707 is 2227323

GCF of denominators i.e. for 684,260 is 4.

Thus, LCM of Fractions is 2227323/4.Finally, LCM of Fractions for 867/684, 7707/260 is 2227323/4.