Least Common Multiple of 562/83, 257/41, 838/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/83, 257/41, 838/976 quickly i.e. 60517846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/83, 257/41, 838/976 is 60517846.

LCM(562/83, 257/41, 838/976) = 60517846

LCM of 562/83, 257/41, 838/976

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 562/83,257/41,838/976

Given numbers are 562/83,257/41,838/976

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 562,257,838

Least Common Multiple of Numerators i.e. LCM of 562,257,838 is 60517846.

GCF of Denominators means GCF of 83,41,976 as per the given fractions.

GCF of 83,41,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,257,838

LCM of Fractions 562/83,257/41,838/976 is 60517846

2 562, 257, 838
281, 257, 419

∴ So the LCM of the given numbers is 2 x 281 x 257 x 419 = 60517846

Least Common Multiple of 562,257,838 with GCF Formula

Least Common Multiple of 562,257,838 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 562,257,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,257,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(562,257,838) x common factors =1 x 2 = 2

LCM(562,257,838) = ( 562 × 257 × 838 ) / 2

LCM(562,257,838) = 121035692 / 2

LCM(562,257,838) = 60517846


Lets's calculate GCF of 83,41,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60517846/1

Therefore the LCM of Fractions 562/83,257/41,838/976 is 60517846

Greatest Common Factor of 83,41,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,41,976 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 83,41,976 . The biggest common factor number is the GCF number.
So the greatest common factor 83,41,976 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 562/83, 257/41, 838/976

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 562/83, 257/41, 838/976?

Answer: LCM of Numerators as per given numbers 562/83, 257/41, 838/976 is

LCM of Numerators i.e. for 562,257,838 is 60517846

GCF of denominators i.e. for 83,41,976 is 1.

Thus, LCM of Fractions is 60517846.Finally, LCM of Fractions for 562/83, 257/41, 838/976 is 60517846.