Least Common Multiple of 23/71, 12/765, 310/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/71, 12/765, 310/350 quickly i.e. 42780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/71, 12/765, 310/350 is 42780.

LCM(23/71, 12/765, 310/350) = 42780

LCM of 23/71, 12/765, 310/350

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 23/71,12/765,310/350

Given numbers are 23/71,12/765,310/350

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 23,12,310

Least Common Multiple of Numerators i.e. LCM of 23,12,310 is 42780.

GCF of Denominators means GCF of 71,765,350 as per the given fractions.

GCF of 71,765,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,12,310

LCM of Fractions 23/71,12/765,310/350 is 42780

2 23, 12, 310
23, 6, 155

∴ So the LCM of the given numbers is 2 x 23 x 6 x 155 = 42780

Least Common Multiple of 23,12,310 with GCF Formula

Least Common Multiple of 23,12,310 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 23,12,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,12,310) = 1

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

GCF(23,12,310) x common factors =1 x 2 = 2

LCM(23,12,310) = ( 23 × 12 × 310 ) / 2

LCM(23,12,310) = 85560 / 2

LCM(23,12,310) = 42780


Lets's calculate GCF of 71,765,350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42780/1

Therefore the LCM of Fractions 23/71,12/765,310/350 is 42780

Greatest Common Factor of 71,765,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,765,350 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 71,765,350 . The biggest common factor number is the GCF number.
So the greatest common factor 71,765,350 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 23/71, 12/765, 310/350

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 23/71, 12/765, 310/350?

Answer: LCM of Numerators as per given numbers 23/71, 12/765, 310/350 is

LCM of Numerators i.e. for 23,12,310 is 42780

GCF of denominators i.e. for 71,765,350 is 1.

Thus, LCM of Fractions is 42780.Finally, LCM of Fractions for 23/71, 12/765, 310/350 is 42780.