Least Common Multiple of 363/35, 664/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/35, 664/375 quickly i.e. 241032/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/35, 664/375 is 241032/5.

LCM(363/35, 664/375) = 241032/5

LCM of 363/35, 664/375

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 363/35,664/375

Given numbers are 363/35,664/375

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 363,664

Least Common Multiple of Numerators i.e. LCM of 363,664 is 241032.

GCF of Denominators means GCF of 35,375 as per the given fractions.

GCF of 35,375 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,664

LCM of Fractions 363/35,664/375 is 241032/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 241032

Least Common Multiple of 363,664 with GCF Formula

Least Common Multiple of 363,664 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 363,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,664) = 1

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

GCF(363,664) x common factors =1 x 1 = 1

LCM(363,664) = ( 363 × 664 ) / 1

LCM(363,664) = 241032 / 1

LCM(363,664) = 241032


Lets's calculate GCF of 35,375

5 35, 375
7, 75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241032/5

Therefore the LCM of Fractions 363/35,664/375 is 241032/5

Greatest Common Factor of 35,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,375 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 35,375 . The biggest common factor number is the GCF number.
So the greatest common factor 35,375 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 363/35, 664/375

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 363/35, 664/375?

Answer: LCM of Numerators as per given numbers 363/35, 664/375 is

LCM of Numerators i.e. for 363,664 is 241032

GCF of denominators i.e. for 35,375 is 5.

Thus, LCM of Fractions is 241032/5.Finally, LCM of Fractions for 363/35, 664/375 is 241032/5.