Least Common Multiple of 87/456, 629/184, 783/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/456, 629/184, 783/925 quickly i.e. 492507 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/456, 629/184, 783/925 is 492507.

LCM(87/456, 629/184, 783/925) = 492507

LCM of 87/456, 629/184, 783/925

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 87/456,629/184,783/925

Given numbers are 87/456,629/184,783/925

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 87,629,783

Least Common Multiple of Numerators i.e. LCM of 87,629,783 is 492507.

GCF of Denominators means GCF of 456,184,925 as per the given fractions.

GCF of 456,184,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,629,783

LCM of Fractions 87/456,629/184,783/925 is 492507

3 87, 629, 783
29 29, 629, 261
1, 629, 9

∴ So the LCM of the given numbers is 3 x 29 x 1 x 629 x 9 = 492507

Least Common Multiple of 87,629,783 with GCF Formula

Least Common Multiple of 87,629,783 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 87,629,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,629,783) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(87,629,783) x common factors =1 x 87 = 87

LCM(87,629,783) = ( 87 × 629 × 783 ) / 87

LCM(87,629,783) = 42848109 / 87

LCM(87,629,783) = 492507


Lets's calculate GCF of 456,184,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492507/1

Therefore the LCM of Fractions 87/456,629/184,783/925 is 492507

Greatest Common Factor of 456,184,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,184,925 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 456,184,925 . The biggest common factor number is the GCF number.
So the greatest common factor 456,184,925 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 87/456, 629/184, 783/925

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 87/456, 629/184, 783/925?

Answer: LCM of Numerators as per given numbers 87/456, 629/184, 783/925 is

LCM of Numerators i.e. for 87,629,783 is 492507

GCF of denominators i.e. for 456,184,925 is 1.

Thus, LCM of Fractions is 492507.Finally, LCM of Fractions for 87/456, 629/184, 783/925 is 492507.