Least Common Multiple of 261/800, 601/196, 980/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/800, 601/196, 980/994 quickly i.e. 76861890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/800, 601/196, 980/994 is 76861890.

LCM(261/800, 601/196, 980/994) = 76861890

LCM of 261/800, 601/196, 980/994

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 261/800,601/196,980/994

Given numbers are 261/800,601/196,980/994

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 261,601,980

Least Common Multiple of Numerators i.e. LCM of 261,601,980 is 153723780.

GCF of Denominators means GCF of 800,196,994 as per the given fractions.

GCF of 800,196,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,601,980

LCM of Fractions 261/800,601/196,980/994 is 76861890

Given numbers has no common factors except 1. So, there LCM is their product i.e 153723780

Least Common Multiple of 261,601,980 with GCF Formula

Least Common Multiple of 261,601,980 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 261,601,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,601,980) = 1

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

GCF(261,601,980) x common factors =1 x 1 = 1

LCM(261,601,980) = ( 261 × 601 × 980 ) / 1

LCM(261,601,980) = 153723780 / 1

LCM(261,601,980) = 153723780


Lets's calculate GCF of 800,196,994

2 800, 196, 994
400, 98, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153723780/2

Therefore the LCM of Fractions 261/800,601/196,980/994 is 76861890

Greatest Common Factor of 800,196,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,196,994 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 800,196,994 . The biggest common factor number is the GCF number.
So the greatest common factor 800,196,994 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 261/800, 601/196, 980/994

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 261/800, 601/196, 980/994?

Answer: LCM of Numerators as per given numbers 261/800, 601/196, 980/994 is

LCM of Numerators i.e. for 261,601,980 is 153723780

GCF of denominators i.e. for 800,196,994 is 2.

Thus, LCM of Fractions is 76861890.Finally, LCM of Fractions for 261/800, 601/196, 980/994 is 76861890.