Least Common Multiple of 411/614, 316/100, 858/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 411/614, 316/100, 858/993 quickly i.e. 18572268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 411/614, 316/100, 858/993 is 18572268.

LCM(411/614, 316/100, 858/993) = 18572268

LCM of 411/614, 316/100, 858/993

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 411/614,316/100,858/993

Given numbers are 411/614,316/100,858/993

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 411,316,858

Least Common Multiple of Numerators i.e. LCM of 411,316,858 is 18572268.

GCF of Denominators means GCF of 614,100,993 as per the given fractions.

GCF of 614,100,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 411,316,858

LCM of Fractions 411/614,316/100,858/993 is 18572268

2 411, 316, 858
3 411, 158, 429
137, 158, 143

∴ So the LCM of the given numbers is 2 x 3 x 137 x 158 x 143 = 18572268

Least Common Multiple of 411,316,858 with GCF Formula

Least Common Multiple of 411,316,858 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 411,316,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,316,858) = 1

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

GCF(411,316,858) x common factors =1 x 6 = 6

LCM(411,316,858) = ( 411 × 316 × 858 ) / 6

LCM(411,316,858) = 111433608 / 6

LCM(411,316,858) = 18572268


Lets's calculate GCF of 614,100,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18572268/1

Therefore the LCM of Fractions 411/614,316/100,858/993 is 18572268

Greatest Common Factor of 614,100,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,100,993 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 614,100,993 . The biggest common factor number is the GCF number.
So the greatest common factor 614,100,993 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 411/614, 316/100, 858/993

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 411/614, 316/100, 858/993?

Answer: LCM of Numerators as per given numbers 411/614, 316/100, 858/993 is

LCM of Numerators i.e. for 411,316,858 is 18572268

GCF of denominators i.e. for 614,100,993 is 1.

Thus, LCM of Fractions is 18572268.Finally, LCM of Fractions for 411/614, 316/100, 858/993 is 18572268.