Least Common Multiple of 465/98, 422/20, 756/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/98, 422/20, 756/24 quickly i.e. 12362490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/98, 422/20, 756/24 is 12362490.

LCM(465/98, 422/20, 756/24) = 12362490

LCM of 465/98, 422/20, 756/24

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 465/98,422/20,756/24

Given numbers are 465/98,422/20,756/24

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 465,422,756

Least Common Multiple of Numerators i.e. LCM of 465,422,756 is 24724980.

GCF of Denominators means GCF of 98,20,24 as per the given fractions.

GCF of 98,20,24 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,422,756

LCM of Fractions 465/98,422/20,756/24 is 12362490

2 465, 422, 756
3 465, 211, 378
155, 211, 126

∴ So the LCM of the given numbers is 2 x 3 x 155 x 211 x 126 = 24724980

Least Common Multiple of 465,422,756 with GCF Formula

Least Common Multiple of 465,422,756 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 465,422,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,422,756) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(465,422,756) x common factors =1 x 6 = 6

LCM(465,422,756) = ( 465 × 422 × 756 ) / 6

LCM(465,422,756) = 148349880 / 6

LCM(465,422,756) = 24724980


Lets's calculate GCF of 98,20,24

2 98, 20, 24
49, 10, 12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24724980/2

Therefore the LCM of Fractions 465/98,422/20,756/24 is 12362490

Greatest Common Factor of 98,20,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,20,24 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 98,20,24 . The biggest common factor number is the GCF number.
So the greatest common factor 98,20,24 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 465/98, 422/20, 756/24

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 465/98, 422/20, 756/24?

Answer: LCM of Numerators as per given numbers 465/98, 422/20, 756/24 is

LCM of Numerators i.e. for 465,422,756 is 24724980

GCF of denominators i.e. for 98,20,24 is 2.

Thus, LCM of Fractions is 12362490.Finally, LCM of Fractions for 465/98, 422/20, 756/24 is 12362490.