Least Common Multiple of 816/974, 612/271, 337/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/974, 612/271, 337/658 quickly i.e. 824976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/974, 612/271, 337/658 is 824976.

LCM(816/974, 612/271, 337/658) = 824976

LCM of 816/974, 612/271, 337/658

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 816/974,612/271,337/658

Given numbers are 816/974,612/271,337/658

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 816,612,337

Least Common Multiple of Numerators i.e. LCM of 816,612,337 is 824976.

GCF of Denominators means GCF of 974,271,658 as per the given fractions.

GCF of 974,271,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,612,337

LCM of Fractions 816/974,612/271,337/658 is 824976

2 816, 612, 337
2 408, 306, 337
3 204, 153, 337
17 68, 51, 337
4, 3, 337

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 4 x 3 x 337 = 824976

Least Common Multiple of 816,612,337 with GCF Formula

Least Common Multiple of 816,612,337 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 816,612,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,612,337) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(816,612,337) x common factors =1 x 204 = 204

LCM(816,612,337) = ( 816 × 612 × 337 ) / 204

LCM(816,612,337) = 168295104 / 204

LCM(816,612,337) = 824976


Lets's calculate GCF of 974,271,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824976/1

Therefore the LCM of Fractions 816/974,612/271,337/658 is 824976

Greatest Common Factor of 974,271,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,271,658 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 974,271,658 . The biggest common factor number is the GCF number.
So the greatest common factor 974,271,658 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 816/974, 612/271, 337/658

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 816/974, 612/271, 337/658?

Answer: LCM of Numerators as per given numbers 816/974, 612/271, 337/658 is

LCM of Numerators i.e. for 816,612,337 is 824976

GCF of denominators i.e. for 974,271,658 is 1.

Thus, LCM of Fractions is 824976.Finally, LCM of Fractions for 816/974, 612/271, 337/658 is 824976.