Least Common Multiple of 14/758, 5049/5438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/758, 5049/5438 quickly i.e. 35343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/758, 5049/5438 is 35343.

LCM(14/758, 5049/5438) = 35343

LCM of 14/758, 5049/5438

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 14/758,5049/5438

Given numbers are 14/758,5049/5438

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 14,5049

Least Common Multiple of Numerators i.e. LCM of 14,5049 is 70686.

GCF of Denominators means GCF of 758,5438 as per the given fractions.

GCF of 758,5438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,5049

LCM of Fractions 14/758,5049/5438 is 35343

Given numbers has no common factors except 1. So, there LCM is their product i.e 70686

Least Common Multiple of 14,5049 with GCF Formula

Least Common Multiple of 14,5049 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 14,5049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,5049) = 1

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

GCF(14,5049) x common factors =1 x 1 = 1

LCM(14,5049) = ( 14 × 5049 ) / 1

LCM(14,5049) = 70686 / 1

LCM(14,5049) = 70686


Lets's calculate GCF of 758,5438

2 758, 5438
379, 2719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70686/2

Therefore the LCM of Fractions 14/758,5049/5438 is 35343

Greatest Common Factor of 758,5438 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,5438 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1,2,2719,5438

Greatest Common Factor

We found the factors 758,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 758,5438 is 2.


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 14/758, 5049/5438

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 14/758, 5049/5438?

Answer: LCM of Numerators as per given numbers 14/758, 5049/5438 is

LCM of Numerators i.e. for 14,5049 is 70686

GCF of denominators i.e. for 758,5438 is 2.

Thus, LCM of Fractions is 35343.Finally, LCM of Fractions for 14/758, 5049/5438 is 35343.