Least Common Multiple of 45/62, 38/49, 53/68, 63/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/62, 38/49, 53/68, 63/255 quickly i.e. 634410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/62, 38/49, 53/68, 63/255 is 634410.

LCM(45/62, 38/49, 53/68, 63/255) = 634410

LCM of 45/62, 38/49, 53/68, 63/255

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 45/62,38/49,53/68,63/255

Given numbers are 45/62,38/49,53/68,63/255

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 45,38,53,63

Least Common Multiple of Numerators i.e. LCM of 45,38,53,63 is 634410.

GCF of Denominators means GCF of 62,49,68,255 as per the given fractions.

GCF of 62,49,68,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,38,53,63

LCM of Fractions 45/62,38/49,53/68,63/255 is 634410

3 45, 38, 53, 63
3 15, 38, 53, 21
5, 38, 53, 7

∴ So the LCM of the given numbers is 3 x 3 x 5 x 38 x 53 x 7 = 634410

Least Common Multiple of 45,38,53,63 with GCF Formula

Least Common Multiple of 45,38,53,63 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 45,38,53,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,38,53,63) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,38,53,63) x common factors =1 x 9 = 9

LCM(45,38,53,63) = ( 45 × 38 × 53 × 63 ) / 9

LCM(45,38,53,63) = 5709690 / 9

LCM(45,38,53,63) = 634410


Lets's calculate GCF of 62,49,68,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634410/1

Therefore the LCM of Fractions 45/62,38/49,53/68,63/255 is 634410

Greatest Common Factor of 62,49,68,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,49,68,255 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 49

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

1,7,49

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 62,49,68,255 . The biggest common factor number is the GCF number.
So the greatest common factor 62,49,68,255 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 45/62, 38/49, 53/68, 63/255

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 45/62, 38/49, 53/68, 63/255?

Answer: LCM of Numerators as per given numbers 45/62, 38/49, 53/68, 63/255 is

LCM of Numerators i.e. for 45,38,53,63 is 634410

GCF of denominators i.e. for 62,49,68,255 is 1.

Thus, LCM of Fractions is 634410.Finally, LCM of Fractions for 45/62, 38/49, 53/68, 63/255 is 634410.