Least Common Multiple of 100/85, 5997/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/85, 5997/630 quickly i.e. 119940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/85, 5997/630 is 119940.

LCM(100/85, 5997/630) = 119940

LCM of 100/85, 5997/630

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 100/85,5997/630

Given numbers are 100/85,5997/630

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 100,5997

Least Common Multiple of Numerators i.e. LCM of 100,5997 is 599700.

GCF of Denominators means GCF of 85,630 as per the given fractions.

GCF of 85,630 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,5997

LCM of Fractions 100/85,5997/630 is 119940

Given numbers has no common factors except 1. So, there LCM is their product i.e 599700

Least Common Multiple of 100,5997 with GCF Formula

Least Common Multiple of 100,5997 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 100,5997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,5997) = 1

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

GCF(100,5997) x common factors =1 x 1 = 1

LCM(100,5997) = ( 100 × 5997 ) / 1

LCM(100,5997) = 599700 / 1

LCM(100,5997) = 599700


Lets's calculate GCF of 85,630

5 85, 630
17, 126

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599700/5

Therefore the LCM of Fractions 100/85,5997/630 is 119940

Greatest Common Factor of 85,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,630 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 85,630 . The biggest common factor number is the GCF number.
So the greatest common factor 85,630 is 5.


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 100/85, 5997/630

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 100/85, 5997/630?

Answer: LCM of Numerators as per given numbers 100/85, 5997/630 is

LCM of Numerators i.e. for 100,5997 is 599700

GCF of denominators i.e. for 85,630 is 5.

Thus, LCM of Fractions is 119940.Finally, LCM of Fractions for 100/85, 5997/630 is 119940.