Least Common Multiple of 69/49, 14/587, 219/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/49, 14/587, 219/388 quickly i.e. 70518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/49, 14/587, 219/388 is 70518.

LCM(69/49, 14/587, 219/388) = 70518

LCM of 69/49, 14/587, 219/388

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 69/49,14/587,219/388

Given numbers are 69/49,14/587,219/388

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 69,14,219

Least Common Multiple of Numerators i.e. LCM of 69,14,219 is 70518.

GCF of Denominators means GCF of 49,587,388 as per the given fractions.

GCF of 49,587,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,14,219

LCM of Fractions 69/49,14/587,219/388 is 70518

3 69, 14, 219
23, 14, 73

∴ So the LCM of the given numbers is 3 x 23 x 14 x 73 = 70518

Least Common Multiple of 69,14,219 with GCF Formula

Least Common Multiple of 69,14,219 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 69,14,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,14,219) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,14,219) x common factors =1 x 3 = 3

LCM(69,14,219) = ( 69 × 14 × 219 ) / 3

LCM(69,14,219) = 211554 / 3

LCM(69,14,219) = 70518


Lets's calculate GCF of 49,587,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70518/1

Therefore the LCM of Fractions 69/49,14/587,219/388 is 70518

Greatest Common Factor of 49,587,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,587,388 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 49,587,388 . The biggest common factor number is the GCF number.
So the greatest common factor 49,587,388 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 69/49, 14/587, 219/388

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 69/49, 14/587, 219/388?

Answer: LCM of Numerators as per given numbers 69/49, 14/587, 219/388 is

LCM of Numerators i.e. for 69,14,219 is 70518

GCF of denominators i.e. for 49,587,388 is 1.

Thus, LCM of Fractions is 70518.Finally, LCM of Fractions for 69/49, 14/587, 219/388 is 70518.