Least Common Multiple of 82/28, 410/49, 650/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/28, 410/49, 650/597 quickly i.e. 26650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/28, 410/49, 650/597 is 26650.

LCM(82/28, 410/49, 650/597) = 26650

LCM of 82/28, 410/49, 650/597

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 82/28,410/49,650/597

Given numbers are 82/28,410/49,650/597

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 82,410,650

Least Common Multiple of Numerators i.e. LCM of 82,410,650 is 26650.

GCF of Denominators means GCF of 28,49,597 as per the given fractions.

GCF of 28,49,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,410,650

LCM of Fractions 82/28,410/49,650/597 is 26650

2 82, 410, 650
5 41, 205, 325
41 41, 41, 65
1, 1, 65

∴ So the LCM of the given numbers is 2 x 5 x 41 x 1 x 1 x 65 = 26650

Least Common Multiple of 82,410,650 with GCF Formula

Least Common Multiple of 82,410,650 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 82,410,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,410,650) = 2

common factors(in case of two or more numbers have common factors) = 410

GCF(82,410,650) x common factors =2 x 410 = 820

LCM(82,410,650) = ( 82 × 410 × 650 ) / 820

LCM(82,410,650) = 21853000 / 820

LCM(82,410,650) = 26650


Lets's calculate GCF of 28,49,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26650/1

Therefore the LCM of Fractions 82/28,410/49,650/597 is 26650

Greatest Common Factor of 28,49,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,49,597 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 28,49,597 . The biggest common factor number is the GCF number.
So the greatest common factor 28,49,597 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 82/28, 410/49, 650/597

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 82/28, 410/49, 650/597?

Answer: LCM of Numerators as per given numbers 82/28, 410/49, 650/597 is

LCM of Numerators i.e. for 82,410,650 is 26650

GCF of denominators i.e. for 28,49,597 is 1.

Thus, LCM of Fractions is 26650.Finally, LCM of Fractions for 82/28, 410/49, 650/597 is 26650.