Least Common Multiple of 375/107, 101/173, 307/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 375/107, 101/173, 307/275 quickly i.e. 11627625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/107, 101/173, 307/275 is 11627625.

LCM(375/107, 101/173, 307/275) = 11627625

LCM of 375/107, 101/173, 307/275

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 375/107,101/173,307/275

Given numbers are 375/107,101/173,307/275

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 375,101,307

Least Common Multiple of Numerators i.e. LCM of 375,101,307 is 11627625.

GCF of Denominators means GCF of 107,173,275 as per the given fractions.

GCF of 107,173,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,101,307

LCM of Fractions 375/107,101/173,307/275 is 11627625

Given numbers has no common factors except 1. So, there LCM is their product i.e 11627625

Least Common Multiple of 375,101,307 with GCF Formula

Least Common Multiple of 375,101,307 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 375,101,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,101,307) = 1

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

GCF(375,101,307) x common factors =1 x 1 = 1

LCM(375,101,307) = ( 375 × 101 × 307 ) / 1

LCM(375,101,307) = 11627625 / 1

LCM(375,101,307) = 11627625


Lets's calculate GCF of 107,173,275

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11627625/1

Therefore the LCM of Fractions 375/107,101/173,307/275 is 11627625

Greatest Common Factor of 107,173,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,173,275 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 107,173,275 . The biggest common factor number is the GCF number.
So the greatest common factor 107,173,275 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 375/107, 101/173, 307/275

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 375/107, 101/173, 307/275?

Answer: LCM of Numerators as per given numbers 375/107, 101/173, 307/275 is

LCM of Numerators i.e. for 375,101,307 is 11627625

GCF of denominators i.e. for 107,173,275 is 1.

Thus, LCM of Fractions is 11627625.Finally, LCM of Fractions for 375/107, 101/173, 307/275 is 11627625.