Least Common Multiple of 688/23, 494/85, 704/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/23, 494/85, 704/101 quickly i.e. 7477184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/23, 494/85, 704/101 is 7477184.

LCM(688/23, 494/85, 704/101) = 7477184

LCM of 688/23, 494/85, 704/101

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 688/23,494/85,704/101

Given numbers are 688/23,494/85,704/101

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 688,494,704

Least Common Multiple of Numerators i.e. LCM of 688,494,704 is 7477184.

GCF of Denominators means GCF of 23,85,101 as per the given fractions.

GCF of 23,85,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,494,704

LCM of Fractions 688/23,494/85,704/101 is 7477184

2 688, 494, 704
2 344, 247, 352
2 172, 247, 176
2 86, 247, 88
43, 247, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 247 x 44 = 7477184

Least Common Multiple of 688,494,704 with GCF Formula

Least Common Multiple of 688,494,704 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 688,494,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,494,704) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(688,494,704) x common factors =2 x 16 = 32

LCM(688,494,704) = ( 688 × 494 × 704 ) / 32

LCM(688,494,704) = 239269888 / 32

LCM(688,494,704) = 7477184


Lets's calculate GCF of 23,85,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7477184/1

Therefore the LCM of Fractions 688/23,494/85,704/101 is 7477184

Greatest Common Factor of 23,85,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,85,101 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 23,85,101 . The biggest common factor number is the GCF number.
So the greatest common factor 23,85,101 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 688/23, 494/85, 704/101

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 688/23, 494/85, 704/101?

Answer: LCM of Numerators as per given numbers 688/23, 494/85, 704/101 is

LCM of Numerators i.e. for 688,494,704 is 7477184

GCF of denominators i.e. for 23,85,101 is 1.

Thus, LCM of Fractions is 7477184.Finally, LCM of Fractions for 688/23, 494/85, 704/101 is 7477184.