Least Common Multiple of 14/606, 5070/4820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/606, 5070/4820 quickly i.e. 17745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/606, 5070/4820 is 17745.

LCM(14/606, 5070/4820) = 17745

LCM of 14/606, 5070/4820

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 14/606,5070/4820

Given numbers are 14/606,5070/4820

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 14,5070

Least Common Multiple of Numerators i.e. LCM of 14,5070 is 35490.

GCF of Denominators means GCF of 606,4820 as per the given fractions.

GCF of 606,4820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,5070

LCM of Fractions 14/606,5070/4820 is 17745

2 14, 5070
7, 2535

∴ So the LCM of the given numbers is 2 x 7 x 2535 = 35490

Least Common Multiple of 14,5070 with GCF Formula

Least Common Multiple of 14,5070 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 14,5070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,5070) = 2

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

GCF(14,5070) x common factors =2 x 1 = 2

LCM(14,5070) = ( 14 × 5070 ) / 2

LCM(14,5070) = 70980 / 2

LCM(14,5070) = 35490


Lets's calculate GCF of 606,4820

2 606, 4820
303, 2410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35490/2

Therefore the LCM of Fractions 14/606,5070/4820 is 17745

Greatest Common Factor of 606,4820 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,4820 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 4820

List of positive integer factors of 4820 that divides 4820 without a remainder.

1,2,4,5,10,20,241,482,964,1205,2410,4820

Greatest Common Factor

We found the factors 606,4820 . The biggest common factor number is the GCF number.
So the greatest common factor 606,4820 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 14/606, 5070/4820

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 14/606, 5070/4820?

Answer: LCM of Numerators as per given numbers 14/606, 5070/4820 is

LCM of Numerators i.e. for 14,5070 is 35490

GCF of denominators i.e. for 606,4820 is 2.

Thus, LCM of Fractions is 17745.Finally, LCM of Fractions for 14/606, 5070/4820 is 17745.