Least Common Multiple of 8130/75, 1151/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8130/75, 1151/201 quickly i.e. 3119210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8130/75, 1151/201 is 3119210.

LCM(8130/75, 1151/201) = 3119210

LCM of 8130/75, 1151/201

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 8130/75,1151/201

Given numbers are 8130/75,1151/201

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 8130,1151

Least Common Multiple of Numerators i.e. LCM of 8130,1151 is 9357630.

GCF of Denominators means GCF of 75,201 as per the given fractions.

GCF of 75,201 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8130,1151

LCM of Fractions 8130/75,1151/201 is 3119210

Given numbers has no common factors except 1. So, there LCM is their product i.e 9357630

Least Common Multiple of 8130,1151 with GCF Formula

Least Common Multiple of 8130,1151 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 8130,1151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8130,1151) = 1

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

GCF(8130,1151) x common factors =1 x 1 = 1

LCM(8130,1151) = ( 8130 × 1151 ) / 1

LCM(8130,1151) = 9357630 / 1

LCM(8130,1151) = 9357630


Lets's calculate GCF of 75,201

3 75, 201
25, 67

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9357630/3

Therefore the LCM of Fractions 8130/75,1151/201 is 3119210

Greatest Common Factor of 75,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,201 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 75,201 . The biggest common factor number is the GCF number.
So the greatest common factor 75,201 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8130/75, 1151/201

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 8130/75, 1151/201?

Answer: LCM of Numerators as per given numbers 8130/75, 1151/201 is

LCM of Numerators i.e. for 8130,1151 is 9357630

GCF of denominators i.e. for 75,201 is 3.

Thus, LCM of Fractions is 3119210.Finally, LCM of Fractions for 8130/75, 1151/201 is 3119210.