Least Common Multiple of 5249/154, 1686/6424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5249/154, 1686/6424 quickly i.e. 8849814/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5249/154, 1686/6424 is 8849814/22.

LCM(5249/154, 1686/6424) = 8849814/22

LCM of 5249/154, 1686/6424

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 5249/154,1686/6424

Given numbers are 5249/154,1686/6424

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 5249,1686

Least Common Multiple of Numerators i.e. LCM of 5249,1686 is 8849814.

GCF of Denominators means GCF of 154,6424 as per the given fractions.

GCF of 154,6424 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5249,1686

LCM of Fractions 5249/154,1686/6424 is 8849814/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 8849814

Least Common Multiple of 5249,1686 with GCF Formula

Least Common Multiple of 5249,1686 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 5249,1686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5249,1686) = 1

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

GCF(5249,1686) x common factors =1 x 1 = 1

LCM(5249,1686) = ( 5249 × 1686 ) / 1

LCM(5249,1686) = 8849814 / 1

LCM(5249,1686) = 8849814


Lets's calculate GCF of 154,6424

2 154, 6424
11 77, 3212
7, 292

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8849814/22

Therefore the LCM of Fractions 5249/154,1686/6424 is 8849814/22

Greatest Common Factor of 154,6424 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,6424 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Greatest Common Factor

We found the factors 154,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 154,6424 is 22.


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 5249/154, 1686/6424

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 5249/154, 1686/6424?

Answer: LCM of Numerators as per given numbers 5249/154, 1686/6424 is

LCM of Numerators i.e. for 5249,1686 is 8849814

GCF of denominators i.e. for 154,6424 is 22.

Thus, LCM of Fractions is 8849814/22.Finally, LCM of Fractions for 5249/154, 1686/6424 is 8849814/22.