Least Common Multiple of 402/968, 9328/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/968, 9328/575 quickly i.e. 1874928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/968, 9328/575 is 1874928.

LCM(402/968, 9328/575) = 1874928

LCM of 402/968, 9328/575

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 402/968,9328/575

Given numbers are 402/968,9328/575

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 402,9328

Least Common Multiple of Numerators i.e. LCM of 402,9328 is 1874928.

GCF of Denominators means GCF of 968,575 as per the given fractions.

GCF of 968,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,9328

LCM of Fractions 402/968,9328/575 is 1874928

2 402, 9328
201, 4664

∴ So the LCM of the given numbers is 2 x 201 x 4664 = 1874928

Least Common Multiple of 402,9328 with GCF Formula

Least Common Multiple of 402,9328 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 402,9328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,9328) = 2

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

GCF(402,9328) x common factors =2 x 1 = 2

LCM(402,9328) = ( 402 × 9328 ) / 2

LCM(402,9328) = 3749856 / 2

LCM(402,9328) = 1874928


Lets's calculate GCF of 968,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1874928/1

Therefore the LCM of Fractions 402/968,9328/575 is 1874928

Greatest Common Factor of 968,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,575 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 968,575 . The biggest common factor number is the GCF number.
So the greatest common factor 968,575 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 402/968, 9328/575

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 402/968, 9328/575?

Answer: LCM of Numerators as per given numbers 402/968, 9328/575 is

LCM of Numerators i.e. for 402,9328 is 1874928

GCF of denominators i.e. for 968,575 is 1.

Thus, LCM of Fractions is 1874928.Finally, LCM of Fractions for 402/968, 9328/575 is 1874928.