Least Common Multiple of 621/49, 335/14, 585/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 621/49, 335/14, 585/45 quickly i.e. 2704455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 621/49, 335/14, 585/45 is 2704455.

LCM(621/49, 335/14, 585/45) = 2704455

LCM of 621/49, 335/14, 585/45

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 621/49,335/14,585/45

Given numbers are 621/49,335/14,585/45

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 621,335,585

Least Common Multiple of Numerators i.e. LCM of 621,335,585 is 2704455.

GCF of Denominators means GCF of 49,14,45 as per the given fractions.

GCF of 49,14,45 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 621,335,585

LCM of Fractions 621/49,335/14,585/45 is 2704455

3 621, 335, 585
3 207, 335, 195
5 69, 335, 65
69, 67, 13

∴ So the LCM of the given numbers is 3 x 3 x 5 x 69 x 67 x 13 = 2704455

Least Common Multiple of 621,335,585 with GCF Formula

Least Common Multiple of 621,335,585 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 621,335,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,335,585) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(621,335,585) x common factors =1 x 45 = 45

LCM(621,335,585) = ( 621 × 335 × 585 ) / 45

LCM(621,335,585) = 121700475 / 45

LCM(621,335,585) = 2704455


Lets's calculate GCF of 49,14,45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2704455/1

Therefore the LCM of Fractions 621/49,335/14,585/45 is 2704455

Greatest Common Factor of 49,14,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,14,45 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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

Greatest Common Factor

We found the factors 49,14,45 . The biggest common factor number is the GCF number.
So the greatest common factor 49,14,45 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 621/49, 335/14, 585/45

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 621/49, 335/14, 585/45?

Answer: LCM of Numerators as per given numbers 621/49, 335/14, 585/45 is

LCM of Numerators i.e. for 621,335,585 is 2704455

GCF of denominators i.e. for 49,14,45 is 1.

Thus, LCM of Fractions is 2704455.Finally, LCM of Fractions for 621/49, 335/14, 585/45 is 2704455.