Least Common Multiple of 85/820, 5871/7574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/820, 5871/7574 quickly i.e. 499035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/820, 5871/7574 is 499035/2.

LCM(85/820, 5871/7574) = 499035/2

LCM of 85/820, 5871/7574

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 85/820,5871/7574

Given numbers are 85/820,5871/7574

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 85,5871

Least Common Multiple of Numerators i.e. LCM of 85,5871 is 499035.

GCF of Denominators means GCF of 820,7574 as per the given fractions.

GCF of 820,7574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,5871

LCM of Fractions 85/820,5871/7574 is 499035/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 499035

Least Common Multiple of 85,5871 with GCF Formula

Least Common Multiple of 85,5871 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 85,5871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,5871) = 1

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

GCF(85,5871) x common factors =1 x 1 = 1

LCM(85,5871) = ( 85 × 5871 ) / 1

LCM(85,5871) = 499035 / 1

LCM(85,5871) = 499035


Lets's calculate GCF of 820,7574

2 820, 7574
410, 3787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499035/2

Therefore the LCM of Fractions 85/820,5871/7574 is 499035/2

Greatest Common Factor of 820,7574 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,7574 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1,2,7,14,541,1082,3787,7574

Greatest Common Factor

We found the factors 820,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 820,7574 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 85/820, 5871/7574

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 85/820, 5871/7574?

Answer: LCM of Numerators as per given numbers 85/820, 5871/7574 is

LCM of Numerators i.e. for 85,5871 is 499035

GCF of denominators i.e. for 820,7574 is 2.

Thus, LCM of Fractions is 499035/2.Finally, LCM of Fractions for 85/820, 5871/7574 is 499035/2.