Least Common Multiple of 798/346, 153/428, 231/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/346, 153/428, 231/826 quickly i.e. 223839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/346, 153/428, 231/826 is 223839.

LCM(798/346, 153/428, 231/826) = 223839

LCM of 798/346, 153/428, 231/826

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 798/346,153/428,231/826

Given numbers are 798/346,153/428,231/826

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 798,153,231

Least Common Multiple of Numerators i.e. LCM of 798,153,231 is 447678.

GCF of Denominators means GCF of 346,428,826 as per the given fractions.

GCF of 346,428,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,153,231

LCM of Fractions 798/346,153/428,231/826 is 223839

3 798, 153, 231
7 266, 51, 77
38, 51, 11

∴ So the LCM of the given numbers is 3 x 7 x 38 x 51 x 11 = 447678

Least Common Multiple of 798,153,231 with GCF Formula

Least Common Multiple of 798,153,231 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 798,153,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,153,231) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(798,153,231) x common factors =3 x 21 = 63

LCM(798,153,231) = ( 798 × 153 × 231 ) / 63

LCM(798,153,231) = 28203714 / 63

LCM(798,153,231) = 447678


Lets's calculate GCF of 346,428,826

2 346, 428, 826
173, 214, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447678/2

Therefore the LCM of Fractions 798/346,153/428,231/826 is 223839

Greatest Common Factor of 346,428,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,428,826 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 346,428,826 . The biggest common factor number is the GCF number.
So the greatest common factor 346,428,826 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 798/346, 153/428, 231/826

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 798/346, 153/428, 231/826?

Answer: LCM of Numerators as per given numbers 798/346, 153/428, 231/826 is

LCM of Numerators i.e. for 798,153,231 is 447678

GCF of denominators i.e. for 346,428,826 is 2.

Thus, LCM of Fractions is 223839.Finally, LCM of Fractions for 798/346, 153/428, 231/826 is 223839.