Least Common Multiple of 421/899, 4182/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 421/899, 4182/957 quickly i.e. 1760622/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/899, 4182/957 is 1760622/29.

LCM(421/899, 4182/957) = 1760622/29

LCM of 421/899, 4182/957

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 421/899,4182/957

Given numbers are 421/899,4182/957

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 421,4182

Least Common Multiple of Numerators i.e. LCM of 421,4182 is 1760622.

GCF of Denominators means GCF of 899,957 as per the given fractions.

GCF of 899,957 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,4182

LCM of Fractions 421/899,4182/957 is 1760622/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 1760622

Least Common Multiple of 421,4182 with GCF Formula

Least Common Multiple of 421,4182 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 421,4182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,4182) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(421,4182) x common factors =1 x 1 = 1

LCM(421,4182) = ( 421 × 4182 ) / 1

LCM(421,4182) = 1760622 / 1

LCM(421,4182) = 1760622


Lets's calculate GCF of 899,957

29 899, 957
31, 33

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1760622/29

Therefore the LCM of Fractions 421/899,4182/957 is 1760622/29

Greatest Common Factor of 899,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,957 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 899,957 . The biggest common factor number is the GCF number.
So the greatest common factor 899,957 is 29.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 421/899, 4182/957

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 421/899, 4182/957?

Answer: LCM of Numerators as per given numbers 421/899, 4182/957 is

LCM of Numerators i.e. for 421,4182 is 1760622

GCF of denominators i.e. for 899,957 is 29.

Thus, LCM of Fractions is 1760622/29.Finally, LCM of Fractions for 421/899, 4182/957 is 1760622/29.