Least Common Multiple of 213/454, 820/698, 931/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/454, 820/698, 931/806 quickly i.e. 81304230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/454, 820/698, 931/806 is 81304230.

LCM(213/454, 820/698, 931/806) = 81304230

LCM of 213/454, 820/698, 931/806

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 213/454,820/698,931/806

Given numbers are 213/454,820/698,931/806

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 213,820,931

Least Common Multiple of Numerators i.e. LCM of 213,820,931 is 162608460.

GCF of Denominators means GCF of 454,698,806 as per the given fractions.

GCF of 454,698,806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,820,931

LCM of Fractions 213/454,820/698,931/806 is 81304230

Given numbers has no common factors except 1. So, there LCM is their product i.e 162608460

Least Common Multiple of 213,820,931 with GCF Formula

Least Common Multiple of 213,820,931 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 213,820,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,820,931) = 1

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

GCF(213,820,931) x common factors =1 x 1 = 1

LCM(213,820,931) = ( 213 × 820 × 931 ) / 1

LCM(213,820,931) = 162608460 / 1

LCM(213,820,931) = 162608460


Lets's calculate GCF of 454,698,806

2 454, 698, 806
227, 349, 403

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162608460/2

Therefore the LCM of Fractions 213/454,820/698,931/806 is 81304230

Greatest Common Factor of 454,698,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,698,806 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 454,698,806 . The biggest common factor number is the GCF number.
So the greatest common factor 454,698,806 is 2.


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 213/454, 820/698, 931/806

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 213/454, 820/698, 931/806?

Answer: LCM of Numerators as per given numbers 213/454, 820/698, 931/806 is

LCM of Numerators i.e. for 213,820,931 is 162608460

GCF of denominators i.e. for 454,698,806 is 2.

Thus, LCM of Fractions is 81304230.Finally, LCM of Fractions for 213/454, 820/698, 931/806 is 81304230.