Least Common Multiple of 772/24, 825/6992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/24, 825/6992 quickly i.e. 636900/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/24, 825/6992 is 636900/8.

LCM(772/24, 825/6992) = 636900/8

LCM of 772/24, 825/6992

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 772/24,825/6992

Given numbers are 772/24,825/6992

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 772,825

Least Common Multiple of Numerators i.e. LCM of 772,825 is 636900.

GCF of Denominators means GCF of 24,6992 as per the given fractions.

GCF of 24,6992 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,825

LCM of Fractions 772/24,825/6992 is 636900/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 636900

Least Common Multiple of 772,825 with GCF Formula

Least Common Multiple of 772,825 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 772,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,825) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(772,825) x common factors =1 x 1 = 1

LCM(772,825) = ( 772 × 825 ) / 1

LCM(772,825) = 636900 / 1

LCM(772,825) = 636900


Lets's calculate GCF of 24,6992

2 24, 6992
2 12, 3496
2 6, 1748
3, 874

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 636900/8

Therefore the LCM of Fractions 772/24,825/6992 is 636900/8

Greatest Common Factor of 24,6992 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,6992 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 6992

List of positive integer factors of 6992 that divides 6992 without a remainder.

1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992

Greatest Common Factor

We found the factors 24,6992 . The biggest common factor number is the GCF number.
So the greatest common factor 24,6992 is 8.


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 772/24, 825/6992

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 772/24, 825/6992?

Answer: LCM of Numerators as per given numbers 772/24, 825/6992 is

LCM of Numerators i.e. for 772,825 is 636900

GCF of denominators i.e. for 24,6992 is 8.

Thus, LCM of Fractions is 636900/8.Finally, LCM of Fractions for 772/24, 825/6992 is 636900/8.