Least Common Multiple of 748/397, 1754/9528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/397, 1754/9528 quickly i.e. 655996/397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/397, 1754/9528 is 655996/397.

LCM(748/397, 1754/9528) = 655996/397

LCM of 748/397, 1754/9528

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 748/397,1754/9528

Given numbers are 748/397,1754/9528

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 748,1754

Least Common Multiple of Numerators i.e. LCM of 748,1754 is 655996.

GCF of Denominators means GCF of 397,9528 as per the given fractions.

GCF of 397,9528 is 397 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,1754

LCM of Fractions 748/397,1754/9528 is 655996/397

2 748, 1754
374, 877

∴ So the LCM of the given numbers is 2 x 374 x 877 = 655996

Least Common Multiple of 748,1754 with GCF Formula

Least Common Multiple of 748,1754 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 748,1754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,1754) = 2

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

GCF(748,1754) x common factors =2 x 1 = 2

LCM(748,1754) = ( 748 × 1754 ) / 2

LCM(748,1754) = 1311992 / 2

LCM(748,1754) = 655996


Lets's calculate GCF of 397,9528

397 397, 9528
1, 24

∴ So the GCF of the given numbers is 397 = 397

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 655996/397

Therefore the LCM of Fractions 748/397,1754/9528 is 655996/397

Greatest Common Factor of 397,9528 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,9528 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528

Greatest Common Factor

We found the factors 397,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 397,9528 is 397.


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 748/397, 1754/9528

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 748/397, 1754/9528?

Answer: LCM of Numerators as per given numbers 748/397, 1754/9528 is

LCM of Numerators i.e. for 748,1754 is 655996

GCF of denominators i.e. for 397,9528 is 397.

Thus, LCM of Fractions is 655996/397.Finally, LCM of Fractions for 748/397, 1754/9528 is 655996/397.