Least Common Multiple of 802/518, 416/485, 245/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/518, 416/485, 245/100 quickly i.e. 40869920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/518, 416/485, 245/100 is 40869920.

LCM(802/518, 416/485, 245/100) = 40869920

LCM of 802/518, 416/485, 245/100

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 802/518,416/485,245/100

Given numbers are 802/518,416/485,245/100

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 802,416,245

Least Common Multiple of Numerators i.e. LCM of 802,416,245 is 40869920.

GCF of Denominators means GCF of 518,485,100 as per the given fractions.

GCF of 518,485,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,416,245

LCM of Fractions 802/518,416/485,245/100 is 40869920

2 802, 416, 245
401, 208, 245

∴ So the LCM of the given numbers is 2 x 401 x 208 x 245 = 40869920

Least Common Multiple of 802,416,245 with GCF Formula

Least Common Multiple of 802,416,245 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 802,416,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,416,245) = 1

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

GCF(802,416,245) x common factors =1 x 2 = 2

LCM(802,416,245) = ( 802 × 416 × 245 ) / 2

LCM(802,416,245) = 81739840 / 2

LCM(802,416,245) = 40869920


Lets's calculate GCF of 518,485,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40869920/1

Therefore the LCM of Fractions 802/518,416/485,245/100 is 40869920

Greatest Common Factor of 518,485,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,485,100 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

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

Greatest Common Factor

We found the factors 518,485,100 . The biggest common factor number is the GCF number.
So the greatest common factor 518,485,100 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 802/518, 416/485, 245/100

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 802/518, 416/485, 245/100?

Answer: LCM of Numerators as per given numbers 802/518, 416/485, 245/100 is

LCM of Numerators i.e. for 802,416,245 is 40869920

GCF of denominators i.e. for 518,485,100 is 1.

Thus, LCM of Fractions is 40869920.Finally, LCM of Fractions for 802/518, 416/485, 245/100 is 40869920.