Least Common Multiple of 289/602, 5700/7634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/602, 5700/7634 quickly i.e. 823650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/602, 5700/7634 is 823650.

LCM(289/602, 5700/7634) = 823650

LCM of 289/602, 5700/7634

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 289/602,5700/7634

Given numbers are 289/602,5700/7634

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 289,5700

Least Common Multiple of Numerators i.e. LCM of 289,5700 is 1647300.

GCF of Denominators means GCF of 602,7634 as per the given fractions.

GCF of 602,7634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,5700

LCM of Fractions 289/602,5700/7634 is 823650

Given numbers has no common factors except 1. So, there LCM is their product i.e 1647300

Least Common Multiple of 289,5700 with GCF Formula

Least Common Multiple of 289,5700 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 289,5700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,5700) = 1

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

GCF(289,5700) x common factors =1 x 1 = 1

LCM(289,5700) = ( 289 × 5700 ) / 1

LCM(289,5700) = 1647300 / 1

LCM(289,5700) = 1647300


Lets's calculate GCF of 602,7634

2 602, 7634
301, 3817

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1647300/2

Therefore the LCM of Fractions 289/602,5700/7634 is 823650

Greatest Common Factor of 602,7634 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,7634 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1,2,11,22,347,694,3817,7634

Greatest Common Factor

We found the factors 602,7634 . The biggest common factor number is the GCF number.
So the greatest common factor 602,7634 is 2.


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 289/602, 5700/7634

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 289/602, 5700/7634?

Answer: LCM of Numerators as per given numbers 289/602, 5700/7634 is

LCM of Numerators i.e. for 289,5700 is 1647300

GCF of denominators i.e. for 602,7634 is 2.

Thus, LCM of Fractions is 823650.Finally, LCM of Fractions for 289/602, 5700/7634 is 823650.