Least Common Multiple of 8075/570, 2118/6685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8075/570, 2118/6685 quickly i.e. 3420570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8075/570, 2118/6685 is 3420570.

LCM(8075/570, 2118/6685) = 3420570

LCM of 8075/570, 2118/6685

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 8075/570,2118/6685

Given numbers are 8075/570,2118/6685

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 8075,2118

Least Common Multiple of Numerators i.e. LCM of 8075,2118 is 17102850.

GCF of Denominators means GCF of 570,6685 as per the given fractions.

GCF of 570,6685 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8075,2118

LCM of Fractions 8075/570,2118/6685 is 3420570

Given numbers has no common factors except 1. So, there LCM is their product i.e 17102850

Least Common Multiple of 8075,2118 with GCF Formula

Least Common Multiple of 8075,2118 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 8075,2118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8075,2118) = 1

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

GCF(8075,2118) x common factors =1 x 1 = 1

LCM(8075,2118) = ( 8075 × 2118 ) / 1

LCM(8075,2118) = 17102850 / 1

LCM(8075,2118) = 17102850


Lets's calculate GCF of 570,6685

5 570, 6685
114, 1337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17102850/5

Therefore the LCM of Fractions 8075/570,2118/6685 is 3420570

Greatest Common Factor of 570,6685 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,6685 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 6685

List of positive integer factors of 6685 that divides 6685 without a remainder.

1,5,7,35,191,955,1337,6685

Greatest Common Factor

We found the factors 570,6685 . The biggest common factor number is the GCF number.
So the greatest common factor 570,6685 is 5.


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 8075/570, 2118/6685

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 8075/570, 2118/6685?

Answer: LCM of Numerators as per given numbers 8075/570, 2118/6685 is

LCM of Numerators i.e. for 8075,2118 is 17102850

GCF of denominators i.e. for 570,6685 is 5.

Thus, LCM of Fractions is 3420570.Finally, LCM of Fractions for 8075/570, 2118/6685 is 3420570.