Least Common Multiple of 1/10, 5/14, 6/75, 23/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/10, 5/14, 6/75, 23/224 quickly i.e. 690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/10, 5/14, 6/75, 23/224 is 690.

LCM(1/10, 5/14, 6/75, 23/224) = 690

LCM of 1/10, 5/14, 6/75, 23/224

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 1/10,5/14,6/75,23/224

Given numbers are 1/10,5/14,6/75,23/224

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 1,5,6,23

Least Common Multiple of Numerators i.e. LCM of 1,5,6,23 is 690.

GCF of Denominators means GCF of 10,14,75,224 as per the given fractions.

GCF of 10,14,75,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,5,6,23

LCM of Fractions 1/10,5/14,6/75,23/224 is 690

Given numbers has no common factors except 1. So, there LCM is their product i.e 690

Least Common Multiple of 1,5,6,23 with GCF Formula

Least Common Multiple of 1,5,6,23 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 1,5,6,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,5,6,23) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,5,6,23) x common factors =1 x 1 = 1

LCM(1,5,6,23) = ( 1 × 5 × 6 × 23 ) / 1

LCM(1,5,6,23) = 690 / 1

LCM(1,5,6,23) = 690


Lets's calculate GCF of 10,14,75,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690/1

Therefore the LCM of Fractions 1/10,5/14,6/75,23/224 is 690

Greatest Common Factor of 10,14,75,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,14,75,224 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 10,14,75,224 . The biggest common factor number is the GCF number.
So the greatest common factor 10,14,75,224 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 1/10, 5/14, 6/75, 23/224

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 1/10, 5/14, 6/75, 23/224?

Answer: LCM of Numerators as per given numbers 1/10, 5/14, 6/75, 23/224 is

LCM of Numerators i.e. for 1,5,6,23 is 690

GCF of denominators i.e. for 10,14,75,224 is 1.

Thus, LCM of Fractions is 690.Finally, LCM of Fractions for 1/10, 5/14, 6/75, 23/224 is 690.