Least Common Multiple of 107/688, 5595/9145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/688, 5595/9145 quickly i.e. 598665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/688, 5595/9145 is 598665.

LCM(107/688, 5595/9145) = 598665

LCM of 107/688, 5595/9145

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 107/688,5595/9145

Given numbers are 107/688,5595/9145

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 107,5595

Least Common Multiple of Numerators i.e. LCM of 107,5595 is 598665.

GCF of Denominators means GCF of 688,9145 as per the given fractions.

GCF of 688,9145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,5595

LCM of Fractions 107/688,5595/9145 is 598665

Given numbers has no common factors except 1. So, there LCM is their product i.e 598665

Least Common Multiple of 107,5595 with GCF Formula

Least Common Multiple of 107,5595 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 107,5595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,5595) = 1

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

GCF(107,5595) x common factors =1 x 1 = 1

LCM(107,5595) = ( 107 × 5595 ) / 1

LCM(107,5595) = 598665 / 1

LCM(107,5595) = 598665


Lets's calculate GCF of 688,9145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598665/1

Therefore the LCM of Fractions 107/688,5595/9145 is 598665

Greatest Common Factor of 688,9145 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,9145 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 9145

List of positive integer factors of 9145 that divides 9145 without a remainder.

1,5,31,59,155,295,1829,9145

Greatest Common Factor

We found the factors 688,9145 . The biggest common factor number is the GCF number.
So the greatest common factor 688,9145 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 107/688, 5595/9145

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 107/688, 5595/9145?

Answer: LCM of Numerators as per given numbers 107/688, 5595/9145 is

LCM of Numerators i.e. for 107,5595 is 598665

GCF of denominators i.e. for 688,9145 is 1.

Thus, LCM of Fractions is 598665.Finally, LCM of Fractions for 107/688, 5595/9145 is 598665.