Least Common Multiple of 880/74, 7873/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 880/74, 7873/309 quickly i.e. 6928240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 880/74, 7873/309 is 6928240.

LCM(880/74, 7873/309) = 6928240

LCM of 880/74, 7873/309

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 880/74,7873/309

Given numbers are 880/74,7873/309

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 880,7873

Least Common Multiple of Numerators i.e. LCM of 880,7873 is 6928240.

GCF of Denominators means GCF of 74,309 as per the given fractions.

GCF of 74,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 880,7873

LCM of Fractions 880/74,7873/309 is 6928240

Given numbers has no common factors except 1. So, there LCM is their product i.e 6928240

Least Common Multiple of 880,7873 with GCF Formula

Least Common Multiple of 880,7873 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 880,7873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,7873) = 1

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

GCF(880,7873) x common factors =1 x 1 = 1

LCM(880,7873) = ( 880 × 7873 ) / 1

LCM(880,7873) = 6928240 / 1

LCM(880,7873) = 6928240


Lets's calculate GCF of 74,309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6928240/1

Therefore the LCM of Fractions 880/74,7873/309 is 6928240

Greatest Common Factor of 74,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,309 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 74,309 . The biggest common factor number is the GCF number.
So the greatest common factor 74,309 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 880/74, 7873/309

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 880/74, 7873/309?

Answer: LCM of Numerators as per given numbers 880/74, 7873/309 is

LCM of Numerators i.e. for 880,7873 is 6928240

GCF of denominators i.e. for 74,309 is 1.

Thus, LCM of Fractions is 6928240.Finally, LCM of Fractions for 880/74, 7873/309 is 6928240.