Least Common Multiple of 61/463, 30/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/463, 30/774 quickly i.e. 1830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/463, 30/774 is 1830.

LCM(61/463, 30/774) = 1830

LCM of 61/463, 30/774

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 61/463,30/774

Given numbers are 61/463,30/774

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 61,30

Least Common Multiple of Numerators i.e. LCM of 61,30 is 1830.

GCF of Denominators means GCF of 463,774 as per the given fractions.

GCF of 463,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,30

LCM of Fractions 61/463,30/774 is 1830

Given numbers has no common factors except 1. So, there LCM is their product i.e 1830

Least Common Multiple of 61,30 with GCF Formula

Least Common Multiple of 61,30 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 61,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,30) = 1

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

GCF(61,30) x common factors =1 x 1 = 1

LCM(61,30) = ( 61 × 30 ) / 1

LCM(61,30) = 1830 / 1

LCM(61,30) = 1830


Lets's calculate GCF of 463,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1830/1

Therefore the LCM of Fractions 61/463,30/774 is 1830

Greatest Common Factor of 463,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,774 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 463,774 . The biggest common factor number is the GCF number.
So the greatest common factor 463,774 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 61/463, 30/774

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 61/463, 30/774?

Answer: LCM of Numerators as per given numbers 61/463, 30/774 is

LCM of Numerators i.e. for 61,30 is 1830

GCF of denominators i.e. for 463,774 is 1.

Thus, LCM of Fractions is 1830.Finally, LCM of Fractions for 61/463, 30/774 is 1830.