Least Common Multiple of 46/98, 81/14, 72/45, 96/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/98, 81/14, 72/45, 96/875 quickly i.e. 59616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/98, 81/14, 72/45, 96/875 is 59616.

LCM(46/98, 81/14, 72/45, 96/875) = 59616

LCM of 46/98, 81/14, 72/45, 96/875

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 46/98,81/14,72/45,96/875

Given numbers are 46/98,81/14,72/45,96/875

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 46,81,72,96

Least Common Multiple of Numerators i.e. LCM of 46,81,72,96 is 59616.

GCF of Denominators means GCF of 98,14,45,875 as per the given fractions.

GCF of 98,14,45,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,81,72,96

LCM of Fractions 46/98,81/14,72/45,96/875 is 59616

2 46, 81, 72, 96
2 23, 81, 36, 48
2 23, 81, 18, 24
3 23, 81, 9, 12
3 23, 27, 3, 4
23, 9, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 23 x 9 x 1 x 4 = 59616

Least Common Multiple of 46,81,72,96 with GCF Formula

Least Common Multiple of 46,81,72,96 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 46,81,72,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,81,72,96) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(46,81,72,96) x common factors =1 x 432 = 432

LCM(46,81,72,96) = ( 46 × 81 × 72 × 96 ) / 432

LCM(46,81,72,96) = 25754112 / 432

LCM(46,81,72,96) = 59616


Lets's calculate GCF of 98,14,45,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59616/1

Therefore the LCM of Fractions 46/98,81/14,72/45,96/875 is 59616

Greatest Common Factor of 98,14,45,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,14,45,875 By Matching Biggest Common Factor Method

Factors of 98

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

1,2,7,14,49,98

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 98,14,45,875 . The biggest common factor number is the GCF number.
So the greatest common factor 98,14,45,875 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 46/98, 81/14, 72/45, 96/875

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 46/98, 81/14, 72/45, 96/875?

Answer: LCM of Numerators as per given numbers 46/98, 81/14, 72/45, 96/875 is

LCM of Numerators i.e. for 46,81,72,96 is 59616

GCF of denominators i.e. for 98,14,45,875 is 1.

Thus, LCM of Fractions is 59616.Finally, LCM of Fractions for 46/98, 81/14, 72/45, 96/875 is 59616.