Least Common Multiple of 228/788, 2583/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/788, 2583/986 quickly i.e. 98154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/788, 2583/986 is 98154.

LCM(228/788, 2583/986) = 98154

LCM of 228/788, 2583/986

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 228/788,2583/986

Given numbers are 228/788,2583/986

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 228,2583

Least Common Multiple of Numerators i.e. LCM of 228,2583 is 196308.

GCF of Denominators means GCF of 788,986 as per the given fractions.

GCF of 788,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,2583

LCM of Fractions 228/788,2583/986 is 98154

3 228, 2583
76, 861

∴ So the LCM of the given numbers is 3 x 76 x 861 = 196308

Least Common Multiple of 228,2583 with GCF Formula

Least Common Multiple of 228,2583 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 228,2583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,2583) = 3

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

GCF(228,2583) x common factors =3 x 1 = 3

LCM(228,2583) = ( 228 × 2583 ) / 3

LCM(228,2583) = 588924 / 3

LCM(228,2583) = 196308


Lets's calculate GCF of 788,986

2 788, 986
394, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196308/2

Therefore the LCM of Fractions 228/788,2583/986 is 98154

Greatest Common Factor of 788,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,986 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 788,986 . The biggest common factor number is the GCF number.
So the greatest common factor 788,986 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 228/788, 2583/986

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 228/788, 2583/986?

Answer: LCM of Numerators as per given numbers 228/788, 2583/986 is

LCM of Numerators i.e. for 228,2583 is 196308

GCF of denominators i.e. for 788,986 is 2.

Thus, LCM of Fractions is 98154.Finally, LCM of Fractions for 228/788, 2583/986 is 98154.