Least Common Multiple of 60/255, 50/413, 802/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/255, 50/413, 802/350 quickly i.e. 120300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/255, 50/413, 802/350 is 120300.

LCM(60/255, 50/413, 802/350) = 120300

LCM of 60/255, 50/413, 802/350

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 60/255,50/413,802/350

Given numbers are 60/255,50/413,802/350

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 60,50,802

Least Common Multiple of Numerators i.e. LCM of 60,50,802 is 120300.

GCF of Denominators means GCF of 255,413,350 as per the given fractions.

GCF of 255,413,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,50,802

LCM of Fractions 60/255,50/413,802/350 is 120300

2 60, 50, 802
5 30, 25, 401
6, 5, 401

∴ So the LCM of the given numbers is 2 x 5 x 6 x 5 x 401 = 120300

Least Common Multiple of 60,50,802 with GCF Formula

Least Common Multiple of 60,50,802 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 60,50,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,50,802) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(60,50,802) x common factors =2 x 10 = 20

LCM(60,50,802) = ( 60 × 50 × 802 ) / 20

LCM(60,50,802) = 2406000 / 20

LCM(60,50,802) = 120300


Lets's calculate GCF of 255,413,350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120300/1

Therefore the LCM of Fractions 60/255,50/413,802/350 is 120300

Greatest Common Factor of 255,413,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,413,350 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 255,413,350 . The biggest common factor number is the GCF number.
So the greatest common factor 255,413,350 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 60/255, 50/413, 802/350

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 60/255, 50/413, 802/350?

Answer: LCM of Numerators as per given numbers 60/255, 50/413, 802/350 is

LCM of Numerators i.e. for 60,50,802 is 120300

GCF of denominators i.e. for 255,413,350 is 1.

Thus, LCM of Fractions is 120300.Finally, LCM of Fractions for 60/255, 50/413, 802/350 is 120300.