Least Common Multiple of 862/25, 536/12, 263/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/25, 536/12, 263/992 quickly i.e. 60757208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/25, 536/12, 263/992 is 60757208.

LCM(862/25, 536/12, 263/992) = 60757208

LCM of 862/25, 536/12, 263/992

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 862/25,536/12,263/992

Given numbers are 862/25,536/12,263/992

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 862,536,263

Least Common Multiple of Numerators i.e. LCM of 862,536,263 is 60757208.

GCF of Denominators means GCF of 25,12,992 as per the given fractions.

GCF of 25,12,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,536,263

LCM of Fractions 862/25,536/12,263/992 is 60757208

2 862, 536, 263
431, 268, 263

∴ So the LCM of the given numbers is 2 x 431 x 268 x 263 = 60757208

Least Common Multiple of 862,536,263 with GCF Formula

Least Common Multiple of 862,536,263 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 862,536,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,536,263) = 1

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

GCF(862,536,263) x common factors =1 x 2 = 2

LCM(862,536,263) = ( 862 × 536 × 263 ) / 2

LCM(862,536,263) = 121514416 / 2

LCM(862,536,263) = 60757208


Lets's calculate GCF of 25,12,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60757208/1

Therefore the LCM of Fractions 862/25,536/12,263/992 is 60757208

Greatest Common Factor of 25,12,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,12,992 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 25,12,992 . The biggest common factor number is the GCF number.
So the greatest common factor 25,12,992 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 862/25, 536/12, 263/992

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 862/25, 536/12, 263/992?

Answer: LCM of Numerators as per given numbers 862/25, 536/12, 263/992 is

LCM of Numerators i.e. for 862,536,263 is 60757208

GCF of denominators i.e. for 25,12,992 is 1.

Thus, LCM of Fractions is 60757208.Finally, LCM of Fractions for 862/25, 536/12, 263/992 is 60757208.