Least Common Multiple of 1017/399, 9368/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1017/399, 9368/754 quickly i.e. 9527256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1017/399, 9368/754 is 9527256.

LCM(1017/399, 9368/754) = 9527256

LCM of 1017/399, 9368/754

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 1017/399,9368/754

Given numbers are 1017/399,9368/754

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 1017,9368

Least Common Multiple of Numerators i.e. LCM of 1017,9368 is 9527256.

GCF of Denominators means GCF of 399,754 as per the given fractions.

GCF of 399,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1017,9368

LCM of Fractions 1017/399,9368/754 is 9527256

Given numbers has no common factors except 1. So, there LCM is their product i.e 9527256

Least Common Multiple of 1017,9368 with GCF Formula

Least Common Multiple of 1017,9368 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 1017,9368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1017,9368) = 1

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

GCF(1017,9368) x common factors =1 x 1 = 1

LCM(1017,9368) = ( 1017 × 9368 ) / 1

LCM(1017,9368) = 9527256 / 1

LCM(1017,9368) = 9527256


Lets's calculate GCF of 399,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9527256/1

Therefore the LCM of Fractions 1017/399,9368/754 is 9527256

Greatest Common Factor of 399,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,754 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 399,754 . The biggest common factor number is the GCF number.
So the greatest common factor 399,754 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1017/399, 9368/754

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 1017/399, 9368/754?

Answer: LCM of Numerators as per given numbers 1017/399, 9368/754 is

LCM of Numerators i.e. for 1017,9368 is 9527256

GCF of denominators i.e. for 399,754 is 1.

Thus, LCM of Fractions is 9527256.Finally, LCM of Fractions for 1017/399, 9368/754 is 9527256.