Least Common Multiple of 10/23, 701/79, 106/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/23, 701/79, 106/279 quickly i.e. 371530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/23, 701/79, 106/279 is 371530.

LCM(10/23, 701/79, 106/279) = 371530

LCM of 10/23, 701/79, 106/279

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 10/23,701/79,106/279

Given numbers are 10/23,701/79,106/279

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 10,701,106

Least Common Multiple of Numerators i.e. LCM of 10,701,106 is 371530.

GCF of Denominators means GCF of 23,79,279 as per the given fractions.

GCF of 23,79,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,701,106

LCM of Fractions 10/23,701/79,106/279 is 371530

2 10, 701, 106
5, 701, 53

∴ So the LCM of the given numbers is 2 x 5 x 701 x 53 = 371530

Least Common Multiple of 10,701,106 with GCF Formula

Least Common Multiple of 10,701,106 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 10,701,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,701,106) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,701,106) x common factors =1 x 2 = 2

LCM(10,701,106) = ( 10 × 701 × 106 ) / 2

LCM(10,701,106) = 743060 / 2

LCM(10,701,106) = 371530


Lets's calculate GCF of 23,79,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371530/1

Therefore the LCM of Fractions 10/23,701/79,106/279 is 371530

Greatest Common Factor of 23,79,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,79,279 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 23,79,279 . The biggest common factor number is the GCF number.
So the greatest common factor 23,79,279 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 10/23, 701/79, 106/279

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 10/23, 701/79, 106/279?

Answer: LCM of Numerators as per given numbers 10/23, 701/79, 106/279 is

LCM of Numerators i.e. for 10,701,106 is 371530

GCF of denominators i.e. for 23,79,279 is 1.

Thus, LCM of Fractions is 371530.Finally, LCM of Fractions for 10/23, 701/79, 106/279 is 371530.