Least Common Multiple of 680/90, 117/1490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/90, 117/1490 quickly i.e. 7956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/90, 117/1490 is 7956.

LCM(680/90, 117/1490) = 7956

LCM of 680/90, 117/1490

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 680/90,117/1490

Given numbers are 680/90,117/1490

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 680,117

Least Common Multiple of Numerators i.e. LCM of 680,117 is 79560.

GCF of Denominators means GCF of 90,1490 as per the given fractions.

GCF of 90,1490 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,117

LCM of Fractions 680/90,117/1490 is 7956

Given numbers has no common factors except 1. So, there LCM is their product i.e 79560

Least Common Multiple of 680,117 with GCF Formula

Least Common Multiple of 680,117 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 680,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,117) = 1

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

GCF(680,117) x common factors =1 x 1 = 1

LCM(680,117) = ( 680 × 117 ) / 1

LCM(680,117) = 79560 / 1

LCM(680,117) = 79560


Lets's calculate GCF of 90,1490

2 90, 1490
5 45, 745
9, 149

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79560/10

Therefore the LCM of Fractions 680/90,117/1490 is 7956

Greatest Common Factor of 90,1490 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,1490 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1,2,5,10,149,298,745,1490

Greatest Common Factor

We found the factors 90,1490 . The biggest common factor number is the GCF number.
So the greatest common factor 90,1490 is 10.


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 680/90, 117/1490

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 680/90, 117/1490?

Answer: LCM of Numerators as per given numbers 680/90, 117/1490 is

LCM of Numerators i.e. for 680,117 is 79560

GCF of denominators i.e. for 90,1490 is 10.

Thus, LCM of Fractions is 7956.Finally, LCM of Fractions for 680/90, 117/1490 is 7956.