Least Common Multiple of 375/359, 899/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 375/359, 899/261 quickly i.e. 337125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/359, 899/261 is 337125.

LCM(375/359, 899/261) = 337125

LCM of 375/359, 899/261

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 375/359,899/261

Given numbers are 375/359,899/261

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 375,899

Least Common Multiple of Numerators i.e. LCM of 375,899 is 337125.

GCF of Denominators means GCF of 359,261 as per the given fractions.

GCF of 359,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,899

LCM of Fractions 375/359,899/261 is 337125

Given numbers has no common factors except 1. So, there LCM is their product i.e 337125

Least Common Multiple of 375,899 with GCF Formula

Least Common Multiple of 375,899 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 375,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,899) = 1

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

GCF(375,899) x common factors =1 x 1 = 1

LCM(375,899) = ( 375 × 899 ) / 1

LCM(375,899) = 337125 / 1

LCM(375,899) = 337125


Lets's calculate GCF of 359,261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 337125/1

Therefore the LCM of Fractions 375/359,899/261 is 337125

Greatest Common Factor of 359,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,261 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 359,261 . The biggest common factor number is the GCF number.
So the greatest common factor 359,261 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 375/359, 899/261

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 375/359, 899/261?

Answer: LCM of Numerators as per given numbers 375/359, 899/261 is

LCM of Numerators i.e. for 375,899 is 337125

GCF of denominators i.e. for 359,261 is 1.

Thus, LCM of Fractions is 337125.Finally, LCM of Fractions for 375/359, 899/261 is 337125.