Least Common Multiple of 50/840, 408/232, 898/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/840, 408/232, 898/458 quickly i.e. 2289900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/840, 408/232, 898/458 is 2289900.

LCM(50/840, 408/232, 898/458) = 2289900

LCM of 50/840, 408/232, 898/458

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 50/840,408/232,898/458

Given numbers are 50/840,408/232,898/458

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 50,408,898

Least Common Multiple of Numerators i.e. LCM of 50,408,898 is 4579800.

GCF of Denominators means GCF of 840,232,458 as per the given fractions.

GCF of 840,232,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,408,898

LCM of Fractions 50/840,408/232,898/458 is 2289900

2 50, 408, 898
25, 204, 449

∴ So the LCM of the given numbers is 2 x 25 x 204 x 449 = 4579800

Least Common Multiple of 50,408,898 with GCF Formula

Least Common Multiple of 50,408,898 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 50,408,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,408,898) = 2

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

GCF(50,408,898) x common factors =2 x 2 = 4

LCM(50,408,898) = ( 50 × 408 × 898 ) / 4

LCM(50,408,898) = 18319200 / 4

LCM(50,408,898) = 4579800


Lets's calculate GCF of 840,232,458

2 840, 232, 458
420, 116, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4579800/2

Therefore the LCM of Fractions 50/840,408/232,898/458 is 2289900

Greatest Common Factor of 840,232,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,232,458 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 840,232,458 . The biggest common factor number is the GCF number.
So the greatest common factor 840,232,458 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 50/840, 408/232, 898/458

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 50/840, 408/232, 898/458?

Answer: LCM of Numerators as per given numbers 50/840, 408/232, 898/458 is

LCM of Numerators i.e. for 50,408,898 is 4579800

GCF of denominators i.e. for 840,232,458 is 2.

Thus, LCM of Fractions is 2289900.Finally, LCM of Fractions for 50/840, 408/232, 898/458 is 2289900.