Least Common Multiple of 919/26, 698/41, 118/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 919/26, 698/41, 118/618 quickly i.e. 37846258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/26, 698/41, 118/618 is 37846258.

LCM(919/26, 698/41, 118/618) = 37846258

LCM of 919/26, 698/41, 118/618

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 919/26,698/41,118/618

Given numbers are 919/26,698/41,118/618

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 919,698,118

Least Common Multiple of Numerators i.e. LCM of 919,698,118 is 37846258.

GCF of Denominators means GCF of 26,41,618 as per the given fractions.

GCF of 26,41,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,698,118

LCM of Fractions 919/26,698/41,118/618 is 37846258

2 919, 698, 118
919, 349, 59

∴ So the LCM of the given numbers is 2 x 919 x 349 x 59 = 37846258

Least Common Multiple of 919,698,118 with GCF Formula

Least Common Multiple of 919,698,118 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 919,698,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,698,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(919,698,118) x common factors =1 x 2 = 2

LCM(919,698,118) = ( 919 × 698 × 118 ) / 2

LCM(919,698,118) = 75692516 / 2

LCM(919,698,118) = 37846258


Lets's calculate GCF of 26,41,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37846258/1

Therefore the LCM of Fractions 919/26,698/41,118/618 is 37846258

Greatest Common Factor of 26,41,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,41,618 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 26,41,618 . The biggest common factor number is the GCF number.
So the greatest common factor 26,41,618 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 919/26, 698/41, 118/618

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 919/26, 698/41, 118/618?

Answer: LCM of Numerators as per given numbers 919/26, 698/41, 118/618 is

LCM of Numerators i.e. for 919,698,118 is 37846258

GCF of denominators i.e. for 26,41,618 is 1.

Thus, LCM of Fractions is 37846258.Finally, LCM of Fractions for 919/26, 698/41, 118/618 is 37846258.