Least Common Multiple of 46/295, 9837/7105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/295, 9837/7105 quickly i.e. 452502/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/295, 9837/7105 is 452502/5.

LCM(46/295, 9837/7105) = 452502/5

LCM of 46/295, 9837/7105

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 46/295,9837/7105

Given numbers are 46/295,9837/7105

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 46,9837

Least Common Multiple of Numerators i.e. LCM of 46,9837 is 452502.

GCF of Denominators means GCF of 295,7105 as per the given fractions.

GCF of 295,7105 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,9837

LCM of Fractions 46/295,9837/7105 is 452502/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 452502

Least Common Multiple of 46,9837 with GCF Formula

Least Common Multiple of 46,9837 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 46,9837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,9837) = 1

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

GCF(46,9837) x common factors =1 x 1 = 1

LCM(46,9837) = ( 46 × 9837 ) / 1

LCM(46,9837) = 452502 / 1

LCM(46,9837) = 452502


Lets's calculate GCF of 295,7105

5 295, 7105
59, 1421

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 452502/5

Therefore the LCM of Fractions 46/295,9837/7105 is 452502/5

Greatest Common Factor of 295,7105 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,7105 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1,5,7,29,35,49,145,203,245,1015,1421,7105

Greatest Common Factor

We found the factors 295,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 295,7105 is 5.


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 46/295, 9837/7105

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 46/295, 9837/7105?

Answer: LCM of Numerators as per given numbers 46/295, 9837/7105 is

LCM of Numerators i.e. for 46,9837 is 452502

GCF of denominators i.e. for 295,7105 is 5.

Thus, LCM of Fractions is 452502/5.Finally, LCM of Fractions for 46/295, 9837/7105 is 452502/5.