Least Common Multiple of 223/295, 136/775, 680/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/295, 136/775, 680/853 quickly i.e. 151640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/295, 136/775, 680/853 is 151640.

LCM(223/295, 136/775, 680/853) = 151640

LCM of 223/295, 136/775, 680/853

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 223/295,136/775,680/853

Given numbers are 223/295,136/775,680/853

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 223,136,680

Least Common Multiple of Numerators i.e. LCM of 223,136,680 is 151640.

GCF of Denominators means GCF of 295,775,853 as per the given fractions.

GCF of 295,775,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,136,680

LCM of Fractions 223/295,136/775,680/853 is 151640

2 223, 136, 680
2 223, 68, 340
2 223, 34, 170
17 223, 17, 85
223, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 223 x 1 x 5 = 151640

Least Common Multiple of 223,136,680 with GCF Formula

Least Common Multiple of 223,136,680 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 223,136,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,136,680) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(223,136,680) x common factors =1 x 136 = 136

LCM(223,136,680) = ( 223 × 136 × 680 ) / 136

LCM(223,136,680) = 20623040 / 136

LCM(223,136,680) = 151640


Lets's calculate GCF of 295,775,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151640/1

Therefore the LCM of Fractions 223/295,136/775,680/853 is 151640

Greatest Common Factor of 295,775,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,775,853 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 295,775,853 . The biggest common factor number is the GCF number.
So the greatest common factor 295,775,853 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 223/295, 136/775, 680/853

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 223/295, 136/775, 680/853?

Answer: LCM of Numerators as per given numbers 223/295, 136/775, 680/853 is

LCM of Numerators i.e. for 223,136,680 is 151640

GCF of denominators i.e. for 295,775,853 is 1.

Thus, LCM of Fractions is 151640.Finally, LCM of Fractions for 223/295, 136/775, 680/853 is 151640.