Least Common Multiple of 9377/67, 3474/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9377/67, 3474/500 quickly i.e. 32575698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9377/67, 3474/500 is 32575698.

LCM(9377/67, 3474/500) = 32575698

LCM of 9377/67, 3474/500

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 9377/67,3474/500

Given numbers are 9377/67,3474/500

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 9377,3474

Least Common Multiple of Numerators i.e. LCM of 9377,3474 is 32575698.

GCF of Denominators means GCF of 67,500 as per the given fractions.

GCF of 67,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9377,3474

LCM of Fractions 9377/67,3474/500 is 32575698

Given numbers has no common factors except 1. So, there LCM is their product i.e 32575698

Least Common Multiple of 9377,3474 with GCF Formula

Least Common Multiple of 9377,3474 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 9377,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9377,3474) = 1

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

GCF(9377,3474) x common factors =1 x 1 = 1

LCM(9377,3474) = ( 9377 × 3474 ) / 1

LCM(9377,3474) = 32575698 / 1

LCM(9377,3474) = 32575698


Lets's calculate GCF of 67,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32575698/1

Therefore the LCM of Fractions 9377/67,3474/500 is 32575698

Greatest Common Factor of 67,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,500 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 67,500 . The biggest common factor number is the GCF number.
So the greatest common factor 67,500 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 9377/67, 3474/500

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 9377/67, 3474/500?

Answer: LCM of Numerators as per given numbers 9377/67, 3474/500 is

LCM of Numerators i.e. for 9377,3474 is 32575698

GCF of denominators i.e. for 67,500 is 1.

Thus, LCM of Fractions is 32575698.Finally, LCM of Fractions for 9377/67, 3474/500 is 32575698.