Least Common Multiple of 9985/105, 2004/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9985/105, 2004/770 quickly i.e. 20009940/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9985/105, 2004/770 is 20009940/35.

LCM(9985/105, 2004/770) = 20009940/35

LCM of 9985/105, 2004/770

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 9985/105,2004/770

Given numbers are 9985/105,2004/770

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 9985,2004

Least Common Multiple of Numerators i.e. LCM of 9985,2004 is 20009940.

GCF of Denominators means GCF of 105,770 as per the given fractions.

GCF of 105,770 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9985,2004

LCM of Fractions 9985/105,2004/770 is 20009940/35

Given numbers has no common factors except 1. So, there LCM is their product i.e 20009940

Least Common Multiple of 9985,2004 with GCF Formula

Least Common Multiple of 9985,2004 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 9985,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9985,2004) = 1

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

GCF(9985,2004) x common factors =1 x 1 = 1

LCM(9985,2004) = ( 9985 × 2004 ) / 1

LCM(9985,2004) = 20009940 / 1

LCM(9985,2004) = 20009940


Lets's calculate GCF of 105,770

5 105, 770
7 21, 154
3, 22

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20009940/35

Therefore the LCM of Fractions 9985/105,2004/770 is 20009940/35

Greatest Common Factor of 105,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,770 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 105,770 . The biggest common factor number is the GCF number.
So the greatest common factor 105,770 is 35.


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 9985/105, 2004/770

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 9985/105, 2004/770?

Answer: LCM of Numerators as per given numbers 9985/105, 2004/770 is

LCM of Numerators i.e. for 9985,2004 is 20009940

GCF of denominators i.e. for 105,770 is 35.

Thus, LCM of Fractions is 20009940/35.Finally, LCM of Fractions for 9985/105, 2004/770 is 20009940/35.