Least Common Multiple of 798/212, 805/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 798/212, 805/386 quickly i.e. 45885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/212, 805/386 is 45885.

LCM(798/212, 805/386) = 45885

LCM of 798/212, 805/386

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 798/212,805/386

Given numbers are 798/212,805/386

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 798,805

Least Common Multiple of Numerators i.e. LCM of 798,805 is 91770.

GCF of Denominators means GCF of 212,386 as per the given fractions.

GCF of 212,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,805

LCM of Fractions 798/212,805/386 is 45885

7 798, 805
114, 115

∴ So the LCM of the given numbers is 7 x 114 x 115 = 91770

Least Common Multiple of 798,805 with GCF Formula

Least Common Multiple of 798,805 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 798,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,805) = 7

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

GCF(798,805) x common factors =7 x 1 = 7

LCM(798,805) = ( 798 × 805 ) / 7

LCM(798,805) = 642390 / 7

LCM(798,805) = 91770


Lets's calculate GCF of 212,386

2 212, 386
106, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91770/2

Therefore the LCM of Fractions 798/212,805/386 is 45885

Greatest Common Factor of 212,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,386 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 212,386 . The biggest common factor number is the GCF number.
So the greatest common factor 212,386 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 798/212, 805/386

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 798/212, 805/386?

Answer: LCM of Numerators as per given numbers 798/212, 805/386 is

LCM of Numerators i.e. for 798,805 is 91770

GCF of denominators i.e. for 212,386 is 2.

Thus, LCM of Fractions is 45885.Finally, LCM of Fractions for 798/212, 805/386 is 45885.