Least Common Multiple of 67/28, 98/83, 800/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/28, 98/83, 800/332 quickly i.e. 2626400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/28, 98/83, 800/332 is 2626400.

LCM(67/28, 98/83, 800/332) = 2626400

LCM of 67/28, 98/83, 800/332

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 67/28,98/83,800/332

Given numbers are 67/28,98/83,800/332

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 67,98,800

Least Common Multiple of Numerators i.e. LCM of 67,98,800 is 2626400.

GCF of Denominators means GCF of 28,83,332 as per the given fractions.

GCF of 28,83,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,98,800

LCM of Fractions 67/28,98/83,800/332 is 2626400

2 67, 98, 800
67, 49, 400

∴ So the LCM of the given numbers is 2 x 67 x 49 x 400 = 2626400

Least Common Multiple of 67,98,800 with GCF Formula

Least Common Multiple of 67,98,800 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 67,98,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,98,800) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,98,800) x common factors =1 x 2 = 2

LCM(67,98,800) = ( 67 × 98 × 800 ) / 2

LCM(67,98,800) = 5252800 / 2

LCM(67,98,800) = 2626400


Lets's calculate GCF of 28,83,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2626400/1

Therefore the LCM of Fractions 67/28,98/83,800/332 is 2626400

Greatest Common Factor of 28,83,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,83,332 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 28,83,332 . The biggest common factor number is the GCF number.
So the greatest common factor 28,83,332 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 67/28, 98/83, 800/332

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 67/28, 98/83, 800/332?

Answer: LCM of Numerators as per given numbers 67/28, 98/83, 800/332 is

LCM of Numerators i.e. for 67,98,800 is 2626400

GCF of denominators i.e. for 28,83,332 is 1.

Thus, LCM of Fractions is 2626400.Finally, LCM of Fractions for 67/28, 98/83, 800/332 is 2626400.