Least Common Multiple of 8270/700, 7261/6575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8270/700, 7261/6575 quickly i.e. 60048470/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8270/700, 7261/6575 is 60048470/25.

LCM(8270/700, 7261/6575) = 60048470/25

LCM of 8270/700, 7261/6575

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 8270/700,7261/6575

Given numbers are 8270/700,7261/6575

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 8270,7261

Least Common Multiple of Numerators i.e. LCM of 8270,7261 is 60048470.

GCF of Denominators means GCF of 700,6575 as per the given fractions.

GCF of 700,6575 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8270,7261

LCM of Fractions 8270/700,7261/6575 is 60048470/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 60048470

Least Common Multiple of 8270,7261 with GCF Formula

Least Common Multiple of 8270,7261 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 8270,7261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8270,7261) = 1

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

GCF(8270,7261) x common factors =1 x 1 = 1

LCM(8270,7261) = ( 8270 × 7261 ) / 1

LCM(8270,7261) = 60048470 / 1

LCM(8270,7261) = 60048470


Lets's calculate GCF of 700,6575

5 700, 6575
5 140, 1315
28, 263

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60048470/25

Therefore the LCM of Fractions 8270/700,7261/6575 is 60048470/25

Greatest Common Factor of 700,6575 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,6575 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 6575

List of positive integer factors of 6575 that divides 6575 without a remainder.

1,5,25,263,1315,6575

Greatest Common Factor

We found the factors 700,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 700,6575 is 25.


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 8270/700, 7261/6575

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 8270/700, 7261/6575?

Answer: LCM of Numerators as per given numbers 8270/700, 7261/6575 is

LCM of Numerators i.e. for 8270,7261 is 60048470

GCF of denominators i.e. for 700,6575 is 25.

Thus, LCM of Fractions is 60048470/25.Finally, LCM of Fractions for 8270/700, 7261/6575 is 60048470/25.