Least Common Multiple of 680/52, 840/9146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/52, 840/9146 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/52, 840/9146 is 7140.

LCM(680/52, 840/9146) = 7140

LCM of 680/52, 840/9146

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 680/52,840/9146

Given numbers are 680/52,840/9146

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 680,840

Least Common Multiple of Numerators i.e. LCM of 680,840 is 14280.

GCF of Denominators means GCF of 52,9146 as per the given fractions.

GCF of 52,9146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,840

LCM of Fractions 680/52,840/9146 is 7140

2 680, 840
2 340, 420
2 170, 210
5 85, 105
17, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 17 x 21 = 14280

Least Common Multiple of 680,840 with GCF Formula

Least Common Multiple of 680,840 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 680,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,840) = 40

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

GCF(680,840) x common factors =40 x 1 = 40

LCM(680,840) = ( 680 × 840 ) / 40

LCM(680,840) = 571200 / 40

LCM(680,840) = 14280


Lets's calculate GCF of 52,9146

2 52, 9146
26, 4573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14280/2

Therefore the LCM of Fractions 680/52,840/9146 is 7140

Greatest Common Factor of 52,9146 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,9146 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 9146

List of positive integer factors of 9146 that divides 9146 without a remainder.

1,2,17,34,269,538,4573,9146

Greatest Common Factor

We found the factors 52,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9146 is 2.


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 680/52, 840/9146

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 680/52, 840/9146?

Answer: LCM of Numerators as per given numbers 680/52, 840/9146 is

LCM of Numerators i.e. for 680,840 is 14280

GCF of denominators i.e. for 52,9146 is 2.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 680/52, 840/9146 is 7140.