Least Common Multiple of 23/688, 994/175, 236/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/688, 994/175, 236/658 quickly i.e. 2697716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/688, 994/175, 236/658 is 2697716.

LCM(23/688, 994/175, 236/658) = 2697716

LCM of 23/688, 994/175, 236/658

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 23/688,994/175,236/658

Given numbers are 23/688,994/175,236/658

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 23,994,236

Least Common Multiple of Numerators i.e. LCM of 23,994,236 is 2697716.

GCF of Denominators means GCF of 688,175,658 as per the given fractions.

GCF of 688,175,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,994,236

LCM of Fractions 23/688,994/175,236/658 is 2697716

2 23, 994, 236
23, 497, 118

∴ So the LCM of the given numbers is 2 x 23 x 497 x 118 = 2697716

Least Common Multiple of 23,994,236 with GCF Formula

Least Common Multiple of 23,994,236 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 23,994,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,994,236) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,994,236) x common factors =1 x 2 = 2

LCM(23,994,236) = ( 23 × 994 × 236 ) / 2

LCM(23,994,236) = 5395432 / 2

LCM(23,994,236) = 2697716


Lets's calculate GCF of 688,175,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2697716/1

Therefore the LCM of Fractions 23/688,994/175,236/658 is 2697716

Greatest Common Factor of 688,175,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,175,658 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 688,175,658 . The biggest common factor number is the GCF number.
So the greatest common factor 688,175,658 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 23/688, 994/175, 236/658

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 23/688, 994/175, 236/658?

Answer: LCM of Numerators as per given numbers 23/688, 994/175, 236/658 is

LCM of Numerators i.e. for 23,994,236 is 2697716

GCF of denominators i.e. for 688,175,658 is 1.

Thus, LCM of Fractions is 2697716.Finally, LCM of Fractions for 23/688, 994/175, 236/658 is 2697716.