Least Common Multiple of 14/90, 498/84, 272/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/90, 498/84, 272/210 quickly i.e. 79016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/90, 498/84, 272/210 is 79016.

LCM(14/90, 498/84, 272/210) = 79016

LCM of 14/90, 498/84, 272/210

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 14/90,498/84,272/210

Given numbers are 14/90,498/84,272/210

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 14,498,272

Least Common Multiple of Numerators i.e. LCM of 14,498,272 is 474096.

GCF of Denominators means GCF of 90,84,210 as per the given fractions.

GCF of 90,84,210 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,498,272

LCM of Fractions 14/90,498/84,272/210 is 79016

2 14, 498, 272
7, 249, 136

∴ So the LCM of the given numbers is 2 x 7 x 249 x 136 = 474096

Least Common Multiple of 14,498,272 with GCF Formula

Least Common Multiple of 14,498,272 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 14,498,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,498,272) = 2

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

GCF(14,498,272) x common factors =2 x 2 = 4

LCM(14,498,272) = ( 14 × 498 × 272 ) / 4

LCM(14,498,272) = 1896384 / 4

LCM(14,498,272) = 474096


Lets's calculate GCF of 90,84,210

2 90, 84, 210
3 45, 42, 105
15, 14, 35

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474096/6

Therefore the LCM of Fractions 14/90,498/84,272/210 is 79016

Greatest Common Factor of 90,84,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,84,210 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 90,84,210 . The biggest common factor number is the GCF number.
So the greatest common factor 90,84,210 is 6.


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 14/90, 498/84, 272/210

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 14/90, 498/84, 272/210?

Answer: LCM of Numerators as per given numbers 14/90, 498/84, 272/210 is

LCM of Numerators i.e. for 14,498,272 is 474096

GCF of denominators i.e. for 90,84,210 is 6.

Thus, LCM of Fractions is 79016.Finally, LCM of Fractions for 14/90, 498/84, 272/210 is 79016.