Least Common Multiple of 5213/350, 8914/8430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5213/350, 8914/8430 quickly i.e. 46468682/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5213/350, 8914/8430 is 46468682/10.

LCM(5213/350, 8914/8430) = 46468682/10

LCM of 5213/350, 8914/8430

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 5213/350,8914/8430

Given numbers are 5213/350,8914/8430

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 5213,8914

Least Common Multiple of Numerators i.e. LCM of 5213,8914 is 46468682.

GCF of Denominators means GCF of 350,8430 as per the given fractions.

GCF of 350,8430 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5213,8914

LCM of Fractions 5213/350,8914/8430 is 46468682/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 46468682

Least Common Multiple of 5213,8914 with GCF Formula

Least Common Multiple of 5213,8914 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 5213,8914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5213,8914) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5213,8914) x common factors =1 x 1 = 1

LCM(5213,8914) = ( 5213 × 8914 ) / 1

LCM(5213,8914) = 46468682 / 1

LCM(5213,8914) = 46468682


Lets's calculate GCF of 350,8430

2 350, 8430
5 175, 4215
35, 843

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46468682/10

Therefore the LCM of Fractions 5213/350,8914/8430 is 46468682/10

Greatest Common Factor of 350,8430 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,8430 By Matching Biggest Common Factor Method

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

Factors of 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430

Greatest Common Factor

We found the factors 350,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 350,8430 is 10.


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 5213/350, 8914/8430

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 5213/350, 8914/8430?

Answer: LCM of Numerators as per given numbers 5213/350, 8914/8430 is

LCM of Numerators i.e. for 5213,8914 is 46468682

GCF of denominators i.e. for 350,8430 is 10.

Thus, LCM of Fractions is 46468682/10.Finally, LCM of Fractions for 5213/350, 8914/8430 is 46468682/10.