Least Common Multiple of 604/735, 5103/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 604/735, 5103/784 quickly i.e. 3082212/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 604/735, 5103/784 is 3082212/49.

LCM(604/735, 5103/784) = 3082212/49

LCM of 604/735, 5103/784

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 604/735,5103/784

Given numbers are 604/735,5103/784

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 604,5103

Least Common Multiple of Numerators i.e. LCM of 604,5103 is 3082212.

GCF of Denominators means GCF of 735,784 as per the given fractions.

GCF of 735,784 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 604,5103

LCM of Fractions 604/735,5103/784 is 3082212/49

Given numbers has no common factors except 1. So, there LCM is their product i.e 3082212

Least Common Multiple of 604,5103 with GCF Formula

Least Common Multiple of 604,5103 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 604,5103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,5103) = 1

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

GCF(604,5103) x common factors =1 x 1 = 1

LCM(604,5103) = ( 604 × 5103 ) / 1

LCM(604,5103) = 3082212 / 1

LCM(604,5103) = 3082212


Lets's calculate GCF of 735,784

7 735, 784
7 105, 112
15, 16

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3082212/49

Therefore the LCM of Fractions 604/735,5103/784 is 3082212/49

Greatest Common Factor of 735,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,784 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 735,784 . The biggest common factor number is the GCF number.
So the greatest common factor 735,784 is 49.


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 604/735, 5103/784

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 604/735, 5103/784?

Answer: LCM of Numerators as per given numbers 604/735, 5103/784 is

LCM of Numerators i.e. for 604,5103 is 3082212

GCF of denominators i.e. for 735,784 is 49.

Thus, LCM of Fractions is 3082212/49.Finally, LCM of Fractions for 604/735, 5103/784 is 3082212/49.