Least Common Multiple of 61/486, 74/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/486, 74/630 quickly i.e. 4514/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/486, 74/630 is 4514/18.

LCM(61/486, 74/630) = 4514/18

LCM of 61/486, 74/630

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 61/486,74/630

Given numbers are 61/486,74/630

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 61,74

Least Common Multiple of Numerators i.e. LCM of 61,74 is 4514.

GCF of Denominators means GCF of 486,630 as per the given fractions.

GCF of 486,630 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,74

LCM of Fractions 61/486,74/630 is 4514/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 4514

Least Common Multiple of 61,74 with GCF Formula

Least Common Multiple of 61,74 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 61,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,74) = 1

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

GCF(61,74) x common factors =1 x 1 = 1

LCM(61,74) = ( 61 × 74 ) / 1

LCM(61,74) = 4514 / 1

LCM(61,74) = 4514


Lets's calculate GCF of 486,630

2 486, 630
3 243, 315
3 81, 105
27, 35

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4514/18

Therefore the LCM of Fractions 61/486,74/630 is 4514/18

Greatest Common Factor of 486,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,630 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 486,630 . The biggest common factor number is the GCF number.
So the greatest common factor 486,630 is 18.


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 61/486, 74/630

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 61/486, 74/630?

Answer: LCM of Numerators as per given numbers 61/486, 74/630 is

LCM of Numerators i.e. for 61,74 is 4514

GCF of denominators i.e. for 486,630 is 18.

Thus, LCM of Fractions is 4514/18.Finally, LCM of Fractions for 61/486, 74/630 is 4514/18.