Least Common Multiple of 6314/742, 5606/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6314/742, 5606/691 quickly i.e. 17698142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6314/742, 5606/691 is 17698142.

LCM(6314/742, 5606/691) = 17698142

LCM of 6314/742, 5606/691

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 6314/742,5606/691

Given numbers are 6314/742,5606/691

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 6314,5606

Least Common Multiple of Numerators i.e. LCM of 6314,5606 is 17698142.

GCF of Denominators means GCF of 742,691 as per the given fractions.

GCF of 742,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6314,5606

LCM of Fractions 6314/742,5606/691 is 17698142

2 6314, 5606
3157, 2803

∴ So the LCM of the given numbers is 2 x 3157 x 2803 = 17698142

Least Common Multiple of 6314,5606 with GCF Formula

Least Common Multiple of 6314,5606 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 6314,5606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6314,5606) = 2

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

GCF(6314,5606) x common factors =2 x 1 = 2

LCM(6314,5606) = ( 6314 × 5606 ) / 2

LCM(6314,5606) = 35396284 / 2

LCM(6314,5606) = 17698142


Lets's calculate GCF of 742,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17698142/1

Therefore the LCM of Fractions 6314/742,5606/691 is 17698142

Greatest Common Factor of 742,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,691 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 742,691 . The biggest common factor number is the GCF number.
So the greatest common factor 742,691 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 6314/742, 5606/691

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 6314/742, 5606/691?

Answer: LCM of Numerators as per given numbers 6314/742, 5606/691 is

LCM of Numerators i.e. for 6314,5606 is 17698142

GCF of denominators i.e. for 742,691 is 1.

Thus, LCM of Fractions is 17698142.Finally, LCM of Fractions for 6314/742, 5606/691 is 17698142.