Least Common Multiple of 470/24, 617/61, 676/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/24, 617/61, 676/469 quickly i.e. 98016620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/24, 617/61, 676/469 is 98016620.

LCM(470/24, 617/61, 676/469) = 98016620

LCM of 470/24, 617/61, 676/469

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 470/24,617/61,676/469

Given numbers are 470/24,617/61,676/469

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 470,617,676

Least Common Multiple of Numerators i.e. LCM of 470,617,676 is 98016620.

GCF of Denominators means GCF of 24,61,469 as per the given fractions.

GCF of 24,61,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,617,676

LCM of Fractions 470/24,617/61,676/469 is 98016620

2 470, 617, 676
235, 617, 338

∴ So the LCM of the given numbers is 2 x 235 x 617 x 338 = 98016620

Least Common Multiple of 470,617,676 with GCF Formula

Least Common Multiple of 470,617,676 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 470,617,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,617,676) = 1

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

GCF(470,617,676) x common factors =1 x 2 = 2

LCM(470,617,676) = ( 470 × 617 × 676 ) / 2

LCM(470,617,676) = 196033240 / 2

LCM(470,617,676) = 98016620


Lets's calculate GCF of 24,61,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98016620/1

Therefore the LCM of Fractions 470/24,617/61,676/469 is 98016620

Greatest Common Factor of 24,61,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,61,469 By Matching Biggest Common Factor Method

Factors of 24

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

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

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 24,61,469 . The biggest common factor number is the GCF number.
So the greatest common factor 24,61,469 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 470/24, 617/61, 676/469

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 470/24, 617/61, 676/469?

Answer: LCM of Numerators as per given numbers 470/24, 617/61, 676/469 is

LCM of Numerators i.e. for 470,617,676 is 98016620

GCF of denominators i.e. for 24,61,469 is 1.

Thus, LCM of Fractions is 98016620.Finally, LCM of Fractions for 470/24, 617/61, 676/469 is 98016620.