Least Common Multiple of 29/463, 39/619, 245/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/463, 39/619, 245/552 quickly i.e. 277095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/463, 39/619, 245/552 is 277095.

LCM(29/463, 39/619, 245/552) = 277095

LCM of 29/463, 39/619, 245/552

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 29/463,39/619,245/552

Given numbers are 29/463,39/619,245/552

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 29,39,245

Least Common Multiple of Numerators i.e. LCM of 29,39,245 is 277095.

GCF of Denominators means GCF of 463,619,552 as per the given fractions.

GCF of 463,619,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,39,245

LCM of Fractions 29/463,39/619,245/552 is 277095

Given numbers has no common factors except 1. So, there LCM is their product i.e 277095

Least Common Multiple of 29,39,245 with GCF Formula

Least Common Multiple of 29,39,245 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 29,39,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,39,245) = 1

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

GCF(29,39,245) x common factors =1 x 1 = 1

LCM(29,39,245) = ( 29 × 39 × 245 ) / 1

LCM(29,39,245) = 277095 / 1

LCM(29,39,245) = 277095


Lets's calculate GCF of 463,619,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277095/1

Therefore the LCM of Fractions 29/463,39/619,245/552 is 277095

Greatest Common Factor of 463,619,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,619,552 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 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 463,619,552 . The biggest common factor number is the GCF number.
So the greatest common factor 463,619,552 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 29/463, 39/619, 245/552

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 29/463, 39/619, 245/552?

Answer: LCM of Numerators as per given numbers 29/463, 39/619, 245/552 is

LCM of Numerators i.e. for 29,39,245 is 277095

GCF of denominators i.e. for 463,619,552 is 1.

Thus, LCM of Fractions is 277095.Finally, LCM of Fractions for 29/463, 39/619, 245/552 is 277095.