Least Common Multiple of 5375/805, 5721/6570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5375/805, 5721/6570 quickly i.e. 6150075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5375/805, 5721/6570 is 6150075.

LCM(5375/805, 5721/6570) = 6150075

LCM of 5375/805, 5721/6570

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 5375/805,5721/6570

Given numbers are 5375/805,5721/6570

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 5375,5721

Least Common Multiple of Numerators i.e. LCM of 5375,5721 is 30750375.

GCF of Denominators means GCF of 805,6570 as per the given fractions.

GCF of 805,6570 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5375,5721

LCM of Fractions 5375/805,5721/6570 is 6150075

Given numbers has no common factors except 1. So, there LCM is their product i.e 30750375

Least Common Multiple of 5375,5721 with GCF Formula

Least Common Multiple of 5375,5721 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 5375,5721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5375,5721) = 1

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

GCF(5375,5721) x common factors =1 x 1 = 1

LCM(5375,5721) = ( 5375 × 5721 ) / 1

LCM(5375,5721) = 30750375 / 1

LCM(5375,5721) = 30750375


Lets's calculate GCF of 805,6570

5 805, 6570
161, 1314

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30750375/5

Therefore the LCM of Fractions 5375/805,5721/6570 is 6150075

Greatest Common Factor of 805,6570 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,6570 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 6570

List of positive integer factors of 6570 that divides 6570 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570

Greatest Common Factor

We found the factors 805,6570 . The biggest common factor number is the GCF number.
So the greatest common factor 805,6570 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5375/805, 5721/6570

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 5375/805, 5721/6570?

Answer: LCM of Numerators as per given numbers 5375/805, 5721/6570 is

LCM of Numerators i.e. for 5375,5721 is 30750375

GCF of denominators i.e. for 805,6570 is 5.

Thus, LCM of Fractions is 6150075.Finally, LCM of Fractions for 5375/805, 5721/6570 is 6150075.