Least Common Multiple of 687/551, 6034/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/551, 6034/304 quickly i.e. 4145358/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/551, 6034/304 is 4145358/19.

LCM(687/551, 6034/304) = 4145358/19

LCM of 687/551, 6034/304

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 687/551,6034/304

Given numbers are 687/551,6034/304

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 687,6034

Least Common Multiple of Numerators i.e. LCM of 687,6034 is 4145358.

GCF of Denominators means GCF of 551,304 as per the given fractions.

GCF of 551,304 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,6034

LCM of Fractions 687/551,6034/304 is 4145358/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 4145358

Least Common Multiple of 687,6034 with GCF Formula

Least Common Multiple of 687,6034 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 687,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,6034) = 1

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

GCF(687,6034) x common factors =1 x 1 = 1

LCM(687,6034) = ( 687 × 6034 ) / 1

LCM(687,6034) = 4145358 / 1

LCM(687,6034) = 4145358


Lets's calculate GCF of 551,304

19 551, 304
29, 16

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4145358/19

Therefore the LCM of Fractions 687/551,6034/304 is 4145358/19

Greatest Common Factor of 551,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,304 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 551,304 . The biggest common factor number is the GCF number.
So the greatest common factor 551,304 is 19.


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 687/551, 6034/304

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 687/551, 6034/304?

Answer: LCM of Numerators as per given numbers 687/551, 6034/304 is

LCM of Numerators i.e. for 687,6034 is 4145358

GCF of denominators i.e. for 551,304 is 19.

Thus, LCM of Fractions is 4145358/19.Finally, LCM of Fractions for 687/551, 6034/304 is 4145358/19.