Least Common Multiple of 1/42, 5/98, 9/46, 41/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/42, 5/98, 9/46, 41/760 quickly i.e. 1845/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/42, 5/98, 9/46, 41/760 is 1845/2.

LCM(1/42, 5/98, 9/46, 41/760) = 1845/2

LCM of 1/42, 5/98, 9/46, 41/760

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 1/42,5/98,9/46,41/760

Given numbers are 1/42,5/98,9/46,41/760

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 1,5,9,41

Least Common Multiple of Numerators i.e. LCM of 1,5,9,41 is 1845.

GCF of Denominators means GCF of 42,98,46,760 as per the given fractions.

GCF of 42,98,46,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,5,9,41

LCM of Fractions 1/42,5/98,9/46,41/760 is 1845/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1845

Least Common Multiple of 1,5,9,41 with GCF Formula

Least Common Multiple of 1,5,9,41 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 1,5,9,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,5,9,41) = 1

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

GCF(1,5,9,41) x common factors =1 x 1 = 1

LCM(1,5,9,41) = ( 1 × 5 × 9 × 41 ) / 1

LCM(1,5,9,41) = 1845 / 1

LCM(1,5,9,41) = 1845


Lets's calculate GCF of 42,98,46,760

2 42, 98, 46, 760
21, 49, 23, 380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1845/2

Therefore the LCM of Fractions 1/42,5/98,9/46,41/760 is 1845/2

Greatest Common Factor of 42,98,46,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,98,46,760 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 42,98,46,760 . The biggest common factor number is the GCF number.
So the greatest common factor 42,98,46,760 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 1/42, 5/98, 9/46, 41/760

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 1/42, 5/98, 9/46, 41/760?

Answer: LCM of Numerators as per given numbers 1/42, 5/98, 9/46, 41/760 is

LCM of Numerators i.e. for 1,5,9,41 is 1845

GCF of denominators i.e. for 42,98,46,760 is 2.

Thus, LCM of Fractions is 1845/2.Finally, LCM of Fractions for 1/42, 5/98, 9/46, 41/760 is 1845/2.