Least Common Multiple of 40/680, 7508/6611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/680, 7508/6611 quickly i.e. 75080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/680, 7508/6611 is 75080.

LCM(40/680, 7508/6611) = 75080

LCM of 40/680, 7508/6611

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 40/680,7508/6611

Given numbers are 40/680,7508/6611

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 40,7508

Least Common Multiple of Numerators i.e. LCM of 40,7508 is 75080.

GCF of Denominators means GCF of 680,6611 as per the given fractions.

GCF of 680,6611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,7508

LCM of Fractions 40/680,7508/6611 is 75080

2 40, 7508
2 20, 3754
10, 1877

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1877 = 75080

Least Common Multiple of 40,7508 with GCF Formula

Least Common Multiple of 40,7508 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 40,7508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,7508) = 4

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

GCF(40,7508) x common factors =4 x 1 = 4

LCM(40,7508) = ( 40 × 7508 ) / 4

LCM(40,7508) = 300320 / 4

LCM(40,7508) = 75080


Lets's calculate GCF of 680,6611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75080/1

Therefore the LCM of Fractions 40/680,7508/6611 is 75080

Greatest Common Factor of 680,6611 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,6611 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 6611

List of positive integer factors of 6611 that divides 6611 without a remainder.

1,11,601,6611

Greatest Common Factor

We found the factors 680,6611 . The biggest common factor number is the GCF number.
So the greatest common factor 680,6611 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/680, 7508/6611

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 40/680, 7508/6611?

Answer: LCM of Numerators as per given numbers 40/680, 7508/6611 is

LCM of Numerators i.e. for 40,7508 is 75080

GCF of denominators i.e. for 680,6611 is 1.

Thus, LCM of Fractions is 75080.Finally, LCM of Fractions for 40/680, 7508/6611 is 75080.