Least Common Multiple of 691/174, 9605/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 691/174, 9605/456 quickly i.e. 6637055/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/174, 9605/456 is 6637055/6.

LCM(691/174, 9605/456) = 6637055/6

LCM of 691/174, 9605/456

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 691/174,9605/456

Given numbers are 691/174,9605/456

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 691,9605

Least Common Multiple of Numerators i.e. LCM of 691,9605 is 6637055.

GCF of Denominators means GCF of 174,456 as per the given fractions.

GCF of 174,456 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,9605

LCM of Fractions 691/174,9605/456 is 6637055/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 6637055

Least Common Multiple of 691,9605 with GCF Formula

Least Common Multiple of 691,9605 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 691,9605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,9605) = 1

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

GCF(691,9605) x common factors =1 x 1 = 1

LCM(691,9605) = ( 691 × 9605 ) / 1

LCM(691,9605) = 6637055 / 1

LCM(691,9605) = 6637055


Lets's calculate GCF of 174,456

2 174, 456
3 87, 228
29, 76

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6637055/6

Therefore the LCM of Fractions 691/174,9605/456 is 6637055/6

Greatest Common Factor of 174,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,456 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 174,456 . The biggest common factor number is the GCF number.
So the greatest common factor 174,456 is 6.


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 691/174, 9605/456

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 691/174, 9605/456?

Answer: LCM of Numerators as per given numbers 691/174, 9605/456 is

LCM of Numerators i.e. for 691,9605 is 6637055

GCF of denominators i.e. for 174,456 is 6.

Thus, LCM of Fractions is 6637055/6.Finally, LCM of Fractions for 691/174, 9605/456 is 6637055/6.