Least Common Multiple of 234/31, 816/75, 310/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/31, 816/75, 310/699 quickly i.e. 4932720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/31, 816/75, 310/699 is 4932720.

LCM(234/31, 816/75, 310/699) = 4932720

LCM of 234/31, 816/75, 310/699

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 234/31,816/75,310/699

Given numbers are 234/31,816/75,310/699

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 234,816,310

Least Common Multiple of Numerators i.e. LCM of 234,816,310 is 4932720.

GCF of Denominators means GCF of 31,75,699 as per the given fractions.

GCF of 31,75,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,816,310

LCM of Fractions 234/31,816/75,310/699 is 4932720

2 234, 816, 310
3 117, 408, 155
39, 136, 155

∴ So the LCM of the given numbers is 2 x 3 x 39 x 136 x 155 = 4932720

Least Common Multiple of 234,816,310 with GCF Formula

Least Common Multiple of 234,816,310 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 234,816,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,816,310) = 2

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

GCF(234,816,310) x common factors =2 x 6 = 12

LCM(234,816,310) = ( 234 × 816 × 310 ) / 12

LCM(234,816,310) = 59192640 / 12

LCM(234,816,310) = 4932720


Lets's calculate GCF of 31,75,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4932720/1

Therefore the LCM of Fractions 234/31,816/75,310/699 is 4932720

Greatest Common Factor of 31,75,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,75,699 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 75

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

1,3,5,15,25,75

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 31,75,699 . The biggest common factor number is the GCF number.
So the greatest common factor 31,75,699 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 234/31, 816/75, 310/699

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 234/31, 816/75, 310/699?

Answer: LCM of Numerators as per given numbers 234/31, 816/75, 310/699 is

LCM of Numerators i.e. for 234,816,310 is 4932720

GCF of denominators i.e. for 31,75,699 is 1.

Thus, LCM of Fractions is 4932720.Finally, LCM of Fractions for 234/31, 816/75, 310/699 is 4932720.