Least Common Multiple of 84/33, 760/14, 280/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/33, 760/14, 280/294 quickly i.e. 15960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/33, 760/14, 280/294 is 15960.

LCM(84/33, 760/14, 280/294) = 15960

LCM of 84/33, 760/14, 280/294

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 84/33,760/14,280/294

Given numbers are 84/33,760/14,280/294

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 84,760,280

Least Common Multiple of Numerators i.e. LCM of 84,760,280 is 15960.

GCF of Denominators means GCF of 33,14,294 as per the given fractions.

GCF of 33,14,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,760,280

LCM of Fractions 84/33,760/14,280/294 is 15960

2 84, 760, 280
2 42, 380, 140
2 21, 190, 70
5 21, 95, 35
7 21, 19, 7
3, 19, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 3 x 19 x 1 = 15960

Least Common Multiple of 84,760,280 with GCF Formula

Least Common Multiple of 84,760,280 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 84,760,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,760,280) = 4

common factors(in case of two or more numbers have common factors) = 280

GCF(84,760,280) x common factors =4 x 280 = 1120

LCM(84,760,280) = ( 84 × 760 × 280 ) / 1120

LCM(84,760,280) = 17875200 / 1120

LCM(84,760,280) = 15960


Lets's calculate GCF of 33,14,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15960/1

Therefore the LCM of Fractions 84/33,760/14,280/294 is 15960

Greatest Common Factor of 33,14,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,14,294 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 33,14,294 . The biggest common factor number is the GCF number.
So the greatest common factor 33,14,294 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 84/33, 760/14, 280/294

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 84/33, 760/14, 280/294?

Answer: LCM of Numerators as per given numbers 84/33, 760/14, 280/294 is

LCM of Numerators i.e. for 84,760,280 is 15960

GCF of denominators i.e. for 33,14,294 is 1.

Thus, LCM of Fractions is 15960.Finally, LCM of Fractions for 84/33, 760/14, 280/294 is 15960.