Least Common Multiple of 398/475, 7712/5688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/475, 7712/5688 quickly i.e. 1534688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/475, 7712/5688 is 1534688.

LCM(398/475, 7712/5688) = 1534688

LCM of 398/475, 7712/5688

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 398/475,7712/5688

Given numbers are 398/475,7712/5688

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 398,7712

Least Common Multiple of Numerators i.e. LCM of 398,7712 is 1534688.

GCF of Denominators means GCF of 475,5688 as per the given fractions.

GCF of 475,5688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,7712

LCM of Fractions 398/475,7712/5688 is 1534688

2 398, 7712
199, 3856

∴ So the LCM of the given numbers is 2 x 199 x 3856 = 1534688

Least Common Multiple of 398,7712 with GCF Formula

Least Common Multiple of 398,7712 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 398,7712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,7712) = 2

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

GCF(398,7712) x common factors =2 x 1 = 2

LCM(398,7712) = ( 398 × 7712 ) / 2

LCM(398,7712) = 3069376 / 2

LCM(398,7712) = 1534688


Lets's calculate GCF of 475,5688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1534688/1

Therefore the LCM of Fractions 398/475,7712/5688 is 1534688

Greatest Common Factor of 475,5688 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,5688 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Greatest Common Factor

We found the factors 475,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 475,5688 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 398/475, 7712/5688

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 398/475, 7712/5688?

Answer: LCM of Numerators as per given numbers 398/475, 7712/5688 is

LCM of Numerators i.e. for 398,7712 is 1534688

GCF of denominators i.e. for 475,5688 is 1.

Thus, LCM of Fractions is 1534688.Finally, LCM of Fractions for 398/475, 7712/5688 is 1534688.