Least Common Multiple of 14/352, 7130/4300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/352, 7130/4300 quickly i.e. 49910/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/352, 7130/4300 is 49910/4.

LCM(14/352, 7130/4300) = 49910/4

LCM of 14/352, 7130/4300

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 14/352,7130/4300

Given numbers are 14/352,7130/4300

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 14,7130

Least Common Multiple of Numerators i.e. LCM of 14,7130 is 49910.

GCF of Denominators means GCF of 352,4300 as per the given fractions.

GCF of 352,4300 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,7130

LCM of Fractions 14/352,7130/4300 is 49910/4

2 14, 7130
7, 3565

∴ So the LCM of the given numbers is 2 x 7 x 3565 = 49910

Least Common Multiple of 14,7130 with GCF Formula

Least Common Multiple of 14,7130 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 14,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7130) = 2

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

GCF(14,7130) x common factors =2 x 1 = 2

LCM(14,7130) = ( 14 × 7130 ) / 2

LCM(14,7130) = 99820 / 2

LCM(14,7130) = 49910


Lets's calculate GCF of 352,4300

2 352, 4300
2 176, 2150
88, 1075

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49910/4

Therefore the LCM of Fractions 14/352,7130/4300 is 49910/4

Greatest Common Factor of 352,4300 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,4300 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300

Greatest Common Factor

We found the factors 352,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 352,4300 is 4.


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 14/352, 7130/4300

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 14/352, 7130/4300?

Answer: LCM of Numerators as per given numbers 14/352, 7130/4300 is

LCM of Numerators i.e. for 14,7130 is 49910

GCF of denominators i.e. for 352,4300 is 4.

Thus, LCM of Fractions is 49910/4.Finally, LCM of Fractions for 14/352, 7130/4300 is 49910/4.