Least Common Multiple of 98/800, 46/725, 477/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/800, 46/725, 477/412 quickly i.e. 1075158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/800, 46/725, 477/412 is 1075158.

LCM(98/800, 46/725, 477/412) = 1075158

LCM of 98/800, 46/725, 477/412

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 98/800,46/725,477/412

Given numbers are 98/800,46/725,477/412

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 98,46,477

Least Common Multiple of Numerators i.e. LCM of 98,46,477 is 1075158.

GCF of Denominators means GCF of 800,725,412 as per the given fractions.

GCF of 800,725,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,46,477

LCM of Fractions 98/800,46/725,477/412 is 1075158

2 98, 46, 477
49, 23, 477

∴ So the LCM of the given numbers is 2 x 49 x 23 x 477 = 1075158

Least Common Multiple of 98,46,477 with GCF Formula

Least Common Multiple of 98,46,477 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 98,46,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,46,477) = 1

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

GCF(98,46,477) x common factors =1 x 2 = 2

LCM(98,46,477) = ( 98 × 46 × 477 ) / 2

LCM(98,46,477) = 2150316 / 2

LCM(98,46,477) = 1075158


Lets's calculate GCF of 800,725,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1075158/1

Therefore the LCM of Fractions 98/800,46/725,477/412 is 1075158

Greatest Common Factor of 800,725,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,725,412 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 800,725,412 . The biggest common factor number is the GCF number.
So the greatest common factor 800,725,412 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 98/800, 46/725, 477/412

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 98/800, 46/725, 477/412?

Answer: LCM of Numerators as per given numbers 98/800, 46/725, 477/412 is

LCM of Numerators i.e. for 98,46,477 is 1075158

GCF of denominators i.e. for 800,725,412 is 1.

Thus, LCM of Fractions is 1075158.Finally, LCM of Fractions for 98/800, 46/725, 477/412 is 1075158.