Least Common Multiple of 421/44, 758/60, 400/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/44, 758/60, 400/314 quickly i.e. 31911800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/44, 758/60, 400/314 is 31911800.

LCM(421/44, 758/60, 400/314) = 31911800

LCM of 421/44, 758/60, 400/314

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 421/44,758/60,400/314

Given numbers are 421/44,758/60,400/314

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 421,758,400

Least Common Multiple of Numerators i.e. LCM of 421,758,400 is 63823600.

GCF of Denominators means GCF of 44,60,314 as per the given fractions.

GCF of 44,60,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,758,400

LCM of Fractions 421/44,758/60,400/314 is 31911800

2 421, 758, 400
421, 379, 200

∴ So the LCM of the given numbers is 2 x 421 x 379 x 200 = 63823600

Least Common Multiple of 421,758,400 with GCF Formula

Least Common Multiple of 421,758,400 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 421,758,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,758,400) = 1

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

GCF(421,758,400) x common factors =1 x 2 = 2

LCM(421,758,400) = ( 421 × 758 × 400 ) / 2

LCM(421,758,400) = 127647200 / 2

LCM(421,758,400) = 63823600


Lets's calculate GCF of 44,60,314

2 44, 60, 314
22, 30, 157

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63823600/2

Therefore the LCM of Fractions 421/44,758/60,400/314 is 31911800

Greatest Common Factor of 44,60,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,60,314 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 44,60,314 . The biggest common factor number is the GCF number.
So the greatest common factor 44,60,314 is 2.


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 421/44, 758/60, 400/314

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 421/44, 758/60, 400/314?

Answer: LCM of Numerators as per given numbers 421/44, 758/60, 400/314 is

LCM of Numerators i.e. for 421,758,400 is 63823600

GCF of denominators i.e. for 44,60,314 is 2.

Thus, LCM of Fractions is 31911800.Finally, LCM of Fractions for 421/44, 758/60, 400/314 is 31911800.