Least Common Multiple of 857/197, 712/688, 238/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 857/197, 712/688, 238/448 quickly i.e. 72611896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 857/197, 712/688, 238/448 is 72611896.

LCM(857/197, 712/688, 238/448) = 72611896

LCM of 857/197, 712/688, 238/448

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 857/197,712/688,238/448

Given numbers are 857/197,712/688,238/448

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 857,712,238

Least Common Multiple of Numerators i.e. LCM of 857,712,238 is 72611896.

GCF of Denominators means GCF of 197,688,448 as per the given fractions.

GCF of 197,688,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 857,712,238

LCM of Fractions 857/197,712/688,238/448 is 72611896

2 857, 712, 238
857, 356, 119

∴ So the LCM of the given numbers is 2 x 857 x 356 x 119 = 72611896

Least Common Multiple of 857,712,238 with GCF Formula

Least Common Multiple of 857,712,238 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 857,712,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,712,238) = 1

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

GCF(857,712,238) x common factors =1 x 2 = 2

LCM(857,712,238) = ( 857 × 712 × 238 ) / 2

LCM(857,712,238) = 145223792 / 2

LCM(857,712,238) = 72611896


Lets's calculate GCF of 197,688,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72611896/1

Therefore the LCM of Fractions 857/197,712/688,238/448 is 72611896

Greatest Common Factor of 197,688,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,688,448 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

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 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 197,688,448 . The biggest common factor number is the GCF number.
So the greatest common factor 197,688,448 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 857/197, 712/688, 238/448

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 857/197, 712/688, 238/448?

Answer: LCM of Numerators as per given numbers 857/197, 712/688, 238/448 is

LCM of Numerators i.e. for 857,712,238 is 72611896

GCF of denominators i.e. for 197,688,448 is 1.

Thus, LCM of Fractions is 72611896.Finally, LCM of Fractions for 857/197, 712/688, 238/448 is 72611896.