Least Common Multiple of 896/68, 969/62, 792/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/68, 969/62, 792/215 quickly i.e. 28651392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/68, 969/62, 792/215 is 28651392.

LCM(896/68, 969/62, 792/215) = 28651392

LCM of 896/68, 969/62, 792/215

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 896/68,969/62,792/215

Given numbers are 896/68,969/62,792/215

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 896,969,792

Least Common Multiple of Numerators i.e. LCM of 896,969,792 is 28651392.

GCF of Denominators means GCF of 68,62,215 as per the given fractions.

GCF of 68,62,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,969,792

LCM of Fractions 896/68,969/62,792/215 is 28651392

2 896, 969, 792
2 448, 969, 396
2 224, 969, 198
3 112, 969, 99
112, 323, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 112 x 323 x 33 = 28651392

Least Common Multiple of 896,969,792 with GCF Formula

Least Common Multiple of 896,969,792 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 896,969,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,969,792) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(896,969,792) x common factors =1 x 24 = 24

LCM(896,969,792) = ( 896 × 969 × 792 ) / 24

LCM(896,969,792) = 687633408 / 24

LCM(896,969,792) = 28651392


Lets's calculate GCF of 68,62,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28651392/1

Therefore the LCM of Fractions 896/68,969/62,792/215 is 28651392

Greatest Common Factor of 68,62,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,62,215 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 68,62,215 . The biggest common factor number is the GCF number.
So the greatest common factor 68,62,215 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 896/68, 969/62, 792/215

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 896/68, 969/62, 792/215?

Answer: LCM of Numerators as per given numbers 896/68, 969/62, 792/215 is

LCM of Numerators i.e. for 896,969,792 is 28651392

GCF of denominators i.e. for 68,62,215 is 1.

Thus, LCM of Fractions is 28651392.Finally, LCM of Fractions for 896/68, 969/62, 792/215 is 28651392.