Least Common Multiple of 826/84, 228/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/84, 228/558 quickly i.e. 15694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/84, 228/558 is 15694.

LCM(826/84, 228/558) = 15694

LCM of 826/84, 228/558

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 826/84,228/558

Given numbers are 826/84,228/558

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 826,228

Least Common Multiple of Numerators i.e. LCM of 826,228 is 94164.

GCF of Denominators means GCF of 84,558 as per the given fractions.

GCF of 84,558 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,228

LCM of Fractions 826/84,228/558 is 15694

2 826, 228
413, 114

∴ So the LCM of the given numbers is 2 x 413 x 114 = 94164

Least Common Multiple of 826,228 with GCF Formula

Least Common Multiple of 826,228 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 826,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,228) = 2

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

GCF(826,228) x common factors =2 x 1 = 2

LCM(826,228) = ( 826 × 228 ) / 2

LCM(826,228) = 188328 / 2

LCM(826,228) = 94164


Lets's calculate GCF of 84,558

2 84, 558
3 42, 279
14, 93

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94164/6

Therefore the LCM of Fractions 826/84,228/558 is 15694

Greatest Common Factor of 84,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,558 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 84,558 . The biggest common factor number is the GCF number.
So the greatest common factor 84,558 is 6.


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 826/84, 228/558

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 826/84, 228/558?

Answer: LCM of Numerators as per given numbers 826/84, 228/558 is

LCM of Numerators i.e. for 826,228 is 94164

GCF of denominators i.e. for 84,558 is 6.

Thus, LCM of Fractions is 15694.Finally, LCM of Fractions for 826/84, 228/558 is 15694.