Least Common Multiple of 63/74, 27/480, 290/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/74, 27/480, 290/210 quickly i.e. 27405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/74, 27/480, 290/210 is 27405.

LCM(63/74, 27/480, 290/210) = 27405

LCM of 63/74, 27/480, 290/210

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 63/74,27/480,290/210

Given numbers are 63/74,27/480,290/210

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 63,27,290

Least Common Multiple of Numerators i.e. LCM of 63,27,290 is 54810.

GCF of Denominators means GCF of 74,480,210 as per the given fractions.

GCF of 74,480,210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,27,290

LCM of Fractions 63/74,27/480,290/210 is 27405

3 63, 27, 290
3 21, 9, 290
7, 3, 290

∴ So the LCM of the given numbers is 3 x 3 x 7 x 3 x 290 = 54810

Least Common Multiple of 63,27,290 with GCF Formula

Least Common Multiple of 63,27,290 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 63,27,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,27,290) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(63,27,290) x common factors =1 x 9 = 9

LCM(63,27,290) = ( 63 × 27 × 290 ) / 9

LCM(63,27,290) = 493290 / 9

LCM(63,27,290) = 54810


Lets's calculate GCF of 74,480,210

2 74, 480, 210
37, 240, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54810/2

Therefore the LCM of Fractions 63/74,27/480,290/210 is 27405

Greatest Common Factor of 74,480,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,480,210 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

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 74,480,210 . The biggest common factor number is the GCF number.
So the greatest common factor 74,480,210 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 63/74, 27/480, 290/210

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 63/74, 27/480, 290/210?

Answer: LCM of Numerators as per given numbers 63/74, 27/480, 290/210 is

LCM of Numerators i.e. for 63,27,290 is 54810

GCF of denominators i.e. for 74,480,210 is 2.

Thus, LCM of Fractions is 27405.Finally, LCM of Fractions for 63/74, 27/480, 290/210 is 27405.