Least Common Multiple of 714/233, 400/924, 101/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/233, 400/924, 101/365 quickly i.e. 14422800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/233, 400/924, 101/365 is 14422800.

LCM(714/233, 400/924, 101/365) = 14422800

LCM of 714/233, 400/924, 101/365

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 714/233,400/924,101/365

Given numbers are 714/233,400/924,101/365

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 714,400,101

Least Common Multiple of Numerators i.e. LCM of 714,400,101 is 14422800.

GCF of Denominators means GCF of 233,924,365 as per the given fractions.

GCF of 233,924,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,400,101

LCM of Fractions 714/233,400/924,101/365 is 14422800

2 714, 400, 101
357, 200, 101

∴ So the LCM of the given numbers is 2 x 357 x 200 x 101 = 14422800

Least Common Multiple of 714,400,101 with GCF Formula

Least Common Multiple of 714,400,101 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 714,400,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,400,101) = 1

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

GCF(714,400,101) x common factors =1 x 2 = 2

LCM(714,400,101) = ( 714 × 400 × 101 ) / 2

LCM(714,400,101) = 28845600 / 2

LCM(714,400,101) = 14422800


Lets's calculate GCF of 233,924,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14422800/1

Therefore the LCM of Fractions 714/233,400/924,101/365 is 14422800

Greatest Common Factor of 233,924,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,924,365 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 233,924,365 . The biggest common factor number is the GCF number.
So the greatest common factor 233,924,365 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 714/233, 400/924, 101/365

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 714/233, 400/924, 101/365?

Answer: LCM of Numerators as per given numbers 714/233, 400/924, 101/365 is

LCM of Numerators i.e. for 714,400,101 is 14422800

GCF of denominators i.e. for 233,924,365 is 1.

Thus, LCM of Fractions is 14422800.Finally, LCM of Fractions for 714/233, 400/924, 101/365 is 14422800.