Least Common Multiple of 455/62, 280/39, 763/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 455/62, 280/39, 763/730 quickly i.e. 396760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/62, 280/39, 763/730 is 396760.

LCM(455/62, 280/39, 763/730) = 396760

LCM of 455/62, 280/39, 763/730

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 455/62,280/39,763/730

Given numbers are 455/62,280/39,763/730

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 455,280,763

Least Common Multiple of Numerators i.e. LCM of 455,280,763 is 396760.

GCF of Denominators means GCF of 62,39,730 as per the given fractions.

GCF of 62,39,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,280,763

LCM of Fractions 455/62,280/39,763/730 is 396760

5 455, 280, 763
7 91, 56, 763
13, 8, 109

∴ So the LCM of the given numbers is 5 x 7 x 13 x 8 x 109 = 396760

Least Common Multiple of 455,280,763 with GCF Formula

Least Common Multiple of 455,280,763 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 455,280,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,280,763) = 7

common factors(in case of two or more numbers have common factors) = 35

GCF(455,280,763) x common factors =7 x 35 = 245

LCM(455,280,763) = ( 455 × 280 × 763 ) / 245

LCM(455,280,763) = 97206200 / 245

LCM(455,280,763) = 396760


Lets's calculate GCF of 62,39,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396760/1

Therefore the LCM of Fractions 455/62,280/39,763/730 is 396760

Greatest Common Factor of 62,39,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,39,730 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 62,39,730 . The biggest common factor number is the GCF number.
So the greatest common factor 62,39,730 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 455/62, 280/39, 763/730

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 455/62, 280/39, 763/730?

Answer: LCM of Numerators as per given numbers 455/62, 280/39, 763/730 is

LCM of Numerators i.e. for 455,280,763 is 396760

GCF of denominators i.e. for 62,39,730 is 1.

Thus, LCM of Fractions is 396760.Finally, LCM of Fractions for 455/62, 280/39, 763/730 is 396760.