Least Common Multiple of 267/98, 829/1144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/98, 829/1144 quickly i.e. 221343/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/98, 829/1144 is 221343/2.

LCM(267/98, 829/1144) = 221343/2

LCM of 267/98, 829/1144

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 267/98,829/1144

Given numbers are 267/98,829/1144

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 267,829

Least Common Multiple of Numerators i.e. LCM of 267,829 is 221343.

GCF of Denominators means GCF of 98,1144 as per the given fractions.

GCF of 98,1144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,829

LCM of Fractions 267/98,829/1144 is 221343/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 221343

Least Common Multiple of 267,829 with GCF Formula

Least Common Multiple of 267,829 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 267,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,829) = 1

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

GCF(267,829) x common factors =1 x 1 = 1

LCM(267,829) = ( 267 × 829 ) / 1

LCM(267,829) = 221343 / 1

LCM(267,829) = 221343


Lets's calculate GCF of 98,1144

2 98, 1144
49, 572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221343/2

Therefore the LCM of Fractions 267/98,829/1144 is 221343/2

Greatest Common Factor of 98,1144 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,1144 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 98,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1144 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 267/98, 829/1144

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 267/98, 829/1144?

Answer: LCM of Numerators as per given numbers 267/98, 829/1144 is

LCM of Numerators i.e. for 267,829 is 221343

GCF of denominators i.e. for 98,1144 is 2.

Thus, LCM of Fractions is 221343/2.Finally, LCM of Fractions for 267/98, 829/1144 is 221343/2.