Least Common Multiple of 859/26, 507/99, 946/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 859/26, 507/99, 946/998 quickly i.e. 411995298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/26, 507/99, 946/998 is 411995298.

LCM(859/26, 507/99, 946/998) = 411995298

LCM of 859/26, 507/99, 946/998

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 859/26,507/99,946/998

Given numbers are 859/26,507/99,946/998

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 859,507,946

Least Common Multiple of Numerators i.e. LCM of 859,507,946 is 411995298.

GCF of Denominators means GCF of 26,99,998 as per the given fractions.

GCF of 26,99,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,507,946

LCM of Fractions 859/26,507/99,946/998 is 411995298

Given numbers has no common factors except 1. So, there LCM is their product i.e 411995298

Least Common Multiple of 859,507,946 with GCF Formula

Least Common Multiple of 859,507,946 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 859,507,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,507,946) = 1

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

GCF(859,507,946) x common factors =1 x 1 = 1

LCM(859,507,946) = ( 859 × 507 × 946 ) / 1

LCM(859,507,946) = 411995298 / 1

LCM(859,507,946) = 411995298


Lets's calculate GCF of 26,99,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411995298/1

Therefore the LCM of Fractions 859/26,507/99,946/998 is 411995298

Greatest Common Factor of 26,99,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,99,998 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 26,99,998 . The biggest common factor number is the GCF number.
So the greatest common factor 26,99,998 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 859/26, 507/99, 946/998

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 859/26, 507/99, 946/998?

Answer: LCM of Numerators as per given numbers 859/26, 507/99, 946/998 is

LCM of Numerators i.e. for 859,507,946 is 411995298

GCF of denominators i.e. for 26,99,998 is 1.

Thus, LCM of Fractions is 411995298.Finally, LCM of Fractions for 859/26, 507/99, 946/998 is 411995298.