Least Common Multiple of 1990/910, 9601/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1990/910, 9601/586 quickly i.e. 9552995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1990/910, 9601/586 is 9552995.

LCM(1990/910, 9601/586) = 9552995

LCM of 1990/910, 9601/586

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 1990/910,9601/586

Given numbers are 1990/910,9601/586

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 1990,9601

Least Common Multiple of Numerators i.e. LCM of 1990,9601 is 19105990.

GCF of Denominators means GCF of 910,586 as per the given fractions.

GCF of 910,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1990,9601

LCM of Fractions 1990/910,9601/586 is 9552995

Given numbers has no common factors except 1. So, there LCM is their product i.e 19105990

Least Common Multiple of 1990,9601 with GCF Formula

Least Common Multiple of 1990,9601 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 1990,9601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1990,9601) = 1

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

GCF(1990,9601) x common factors =1 x 1 = 1

LCM(1990,9601) = ( 1990 × 9601 ) / 1

LCM(1990,9601) = 19105990 / 1

LCM(1990,9601) = 19105990


Lets's calculate GCF of 910,586

2 910, 586
455, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19105990/2

Therefore the LCM of Fractions 1990/910,9601/586 is 9552995

Greatest Common Factor of 910,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,586 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 910,586 . The biggest common factor number is the GCF number.
So the greatest common factor 910,586 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1990/910, 9601/586

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 1990/910, 9601/586?

Answer: LCM of Numerators as per given numbers 1990/910, 9601/586 is

LCM of Numerators i.e. for 1990,9601 is 19105990

GCF of denominators i.e. for 910,586 is 2.

Thus, LCM of Fractions is 9552995.Finally, LCM of Fractions for 1990/910, 9601/586 is 9552995.