Least Common Multiple of 375/17, 971/4609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/17, 971/4609 quickly i.e. 364125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/17, 971/4609 is 364125.

LCM(375/17, 971/4609) = 364125

LCM of 375/17, 971/4609

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 375/17,971/4609

Given numbers are 375/17,971/4609

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 375,971

Least Common Multiple of Numerators i.e. LCM of 375,971 is 364125.

GCF of Denominators means GCF of 17,4609 as per the given fractions.

GCF of 17,4609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,971

LCM of Fractions 375/17,971/4609 is 364125

Given numbers has no common factors except 1. So, there LCM is their product i.e 364125

Least Common Multiple of 375,971 with GCF Formula

Least Common Multiple of 375,971 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 375,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,971) = 1

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

GCF(375,971) x common factors =1 x 1 = 1

LCM(375,971) = ( 375 × 971 ) / 1

LCM(375,971) = 364125 / 1

LCM(375,971) = 364125


Lets's calculate GCF of 17,4609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364125/1

Therefore the LCM of Fractions 375/17,971/4609 is 364125

Greatest Common Factor of 17,4609 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,4609 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1,11,419,4609

Greatest Common Factor

We found the factors 17,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 17,4609 is 1.


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 375/17, 971/4609

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 375/17, 971/4609?

Answer: LCM of Numerators as per given numbers 375/17, 971/4609 is

LCM of Numerators i.e. for 375,971 is 364125

GCF of denominators i.e. for 17,4609 is 1.

Thus, LCM of Fractions is 364125.Finally, LCM of Fractions for 375/17, 971/4609 is 364125.