Least Common Multiple of 14/917, 50/862, 202/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/917, 50/862, 202/576 quickly i.e. 35350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/917, 50/862, 202/576 is 35350.

LCM(14/917, 50/862, 202/576) = 35350

LCM of 14/917, 50/862, 202/576

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 14/917,50/862,202/576

Given numbers are 14/917,50/862,202/576

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 14,50,202

Least Common Multiple of Numerators i.e. LCM of 14,50,202 is 35350.

GCF of Denominators means GCF of 917,862,576 as per the given fractions.

GCF of 917,862,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,50,202

LCM of Fractions 14/917,50/862,202/576 is 35350

2 14, 50, 202
7, 25, 101

∴ So the LCM of the given numbers is 2 x 7 x 25 x 101 = 35350

Least Common Multiple of 14,50,202 with GCF Formula

Least Common Multiple of 14,50,202 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 14,50,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,50,202) = 2

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

GCF(14,50,202) x common factors =2 x 2 = 4

LCM(14,50,202) = ( 14 × 50 × 202 ) / 4

LCM(14,50,202) = 141400 / 4

LCM(14,50,202) = 35350


Lets's calculate GCF of 917,862,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35350/1

Therefore the LCM of Fractions 14/917,50/862,202/576 is 35350

Greatest Common Factor of 917,862,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,862,576 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 917,862,576 . The biggest common factor number is the GCF number.
So the greatest common factor 917,862,576 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 14/917, 50/862, 202/576

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 14/917, 50/862, 202/576?

Answer: LCM of Numerators as per given numbers 14/917, 50/862, 202/576 is

LCM of Numerators i.e. for 14,50,202 is 35350

GCF of denominators i.e. for 917,862,576 is 1.

Thus, LCM of Fractions is 35350.Finally, LCM of Fractions for 14/917, 50/862, 202/576 is 35350.