Least Common Multiple of 5/31, 3/35, 66/55, 68/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/31, 3/35, 66/55, 68/454 quickly i.e. 11220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/31, 3/35, 66/55, 68/454 is 11220.

LCM(5/31, 3/35, 66/55, 68/454) = 11220

LCM of 5/31, 3/35, 66/55, 68/454

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 5/31,3/35,66/55,68/454

Given numbers are 5/31,3/35,66/55,68/454

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 5,3,66,68

Least Common Multiple of Numerators i.e. LCM of 5,3,66,68 is 11220.

GCF of Denominators means GCF of 31,35,55,454 as per the given fractions.

GCF of 31,35,55,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,3,66,68

LCM of Fractions 5/31,3/35,66/55,68/454 is 11220

2 5, 3, 66, 68
3 5, 3, 33, 34
5, 1, 11, 34

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 11 x 34 = 11220

Least Common Multiple of 5,3,66,68 with GCF Formula

Least Common Multiple of 5,3,66,68 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 5,3,66,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,3,66,68) = 1

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

GCF(5,3,66,68) x common factors =1 x 6 = 6

LCM(5,3,66,68) = ( 5 × 3 × 66 × 68 ) / 6

LCM(5,3,66,68) = 67320 / 6

LCM(5,3,66,68) = 11220


Lets's calculate GCF of 31,35,55,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11220/1

Therefore the LCM of Fractions 5/31,3/35,66/55,68/454 is 11220

Greatest Common Factor of 31,35,55,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,35,55,454 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 31,35,55,454 . The biggest common factor number is the GCF number.
So the greatest common factor 31,35,55,454 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 5/31, 3/35, 66/55, 68/454

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 5/31, 3/35, 66/55, 68/454?

Answer: LCM of Numerators as per given numbers 5/31, 3/35, 66/55, 68/454 is

LCM of Numerators i.e. for 5,3,66,68 is 11220

GCF of denominators i.e. for 31,35,55,454 is 1.

Thus, LCM of Fractions is 11220.Finally, LCM of Fractions for 5/31, 3/35, 66/55, 68/454 is 11220.