Least Common Multiple of 749/84, 268/4633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/84, 268/4633 quickly i.e. 200732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/84, 268/4633 is 200732.

LCM(749/84, 268/4633) = 200732

LCM of 749/84, 268/4633

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 749/84,268/4633

Given numbers are 749/84,268/4633

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 749,268

Least Common Multiple of Numerators i.e. LCM of 749,268 is 200732.

GCF of Denominators means GCF of 84,4633 as per the given fractions.

GCF of 84,4633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,268

LCM of Fractions 749/84,268/4633 is 200732

Given numbers has no common factors except 1. So, there LCM is their product i.e 200732

Least Common Multiple of 749,268 with GCF Formula

Least Common Multiple of 749,268 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 749,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,268) = 1

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

GCF(749,268) x common factors =1 x 1 = 1

LCM(749,268) = ( 749 × 268 ) / 1

LCM(749,268) = 200732 / 1

LCM(749,268) = 200732


Lets's calculate GCF of 84,4633

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200732/1

Therefore the LCM of Fractions 749/84,268/4633 is 200732

Greatest Common Factor of 84,4633 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,4633 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 4633

List of positive integer factors of 4633 that divides 4633 without a remainder.

1,41,113,4633

Greatest Common Factor

We found the factors 84,4633 . The biggest common factor number is the GCF number.
So the greatest common factor 84,4633 is 1.


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 749/84, 268/4633

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 749/84, 268/4633?

Answer: LCM of Numerators as per given numbers 749/84, 268/4633 is

LCM of Numerators i.e. for 749,268 is 200732

GCF of denominators i.e. for 84,4633 is 1.

Thus, LCM of Fractions is 200732.Finally, LCM of Fractions for 749/84, 268/4633 is 200732.