Least Common Multiple of 752/84, 267/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/84, 267/358 quickly i.e. 100392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/84, 267/358 is 100392.

LCM(752/84, 267/358) = 100392

LCM of 752/84, 267/358

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 752/84,267/358

Given numbers are 752/84,267/358

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 752,267

Least Common Multiple of Numerators i.e. LCM of 752,267 is 200784.

GCF of Denominators means GCF of 84,358 as per the given fractions.

GCF of 84,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,267

LCM of Fractions 752/84,267/358 is 100392

Given numbers has no common factors except 1. So, there LCM is their product i.e 200784

Least Common Multiple of 752,267 with GCF Formula

Least Common Multiple of 752,267 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 752,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,267) = 1

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

GCF(752,267) x common factors =1 x 1 = 1

LCM(752,267) = ( 752 × 267 ) / 1

LCM(752,267) = 200784 / 1

LCM(752,267) = 200784


Lets's calculate GCF of 84,358

2 84, 358
42, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200784/2

Therefore the LCM of Fractions 752/84,267/358 is 100392

Greatest Common Factor of 84,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,358 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 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 84,358 . The biggest common factor number is the GCF number.
So the greatest common factor 84,358 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 752/84, 267/358

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 752/84, 267/358?

Answer: LCM of Numerators as per given numbers 752/84, 267/358 is

LCM of Numerators i.e. for 752,267 is 200784

GCF of denominators i.e. for 84,358 is 2.

Thus, LCM of Fractions is 100392.Finally, LCM of Fractions for 752/84, 267/358 is 100392.