Least Common Multiple of 629/424, 547/125, 914/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 629/424, 547/125, 914/312 quickly i.e. 314473582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 629/424, 547/125, 914/312 is 314473582.

LCM(629/424, 547/125, 914/312) = 314473582

LCM of 629/424, 547/125, 914/312

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 629/424,547/125,914/312

Given numbers are 629/424,547/125,914/312

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 629,547,914

Least Common Multiple of Numerators i.e. LCM of 629,547,914 is 314473582.

GCF of Denominators means GCF of 424,125,312 as per the given fractions.

GCF of 424,125,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 629,547,914

LCM of Fractions 629/424,547/125,914/312 is 314473582

Given numbers has no common factors except 1. So, there LCM is their product i.e 314473582

Least Common Multiple of 629,547,914 with GCF Formula

Least Common Multiple of 629,547,914 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 629,547,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,547,914) = 1

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

GCF(629,547,914) x common factors =1 x 1 = 1

LCM(629,547,914) = ( 629 × 547 × 914 ) / 1

LCM(629,547,914) = 314473582 / 1

LCM(629,547,914) = 314473582


Lets's calculate GCF of 424,125,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314473582/1

Therefore the LCM of Fractions 629/424,547/125,914/312 is 314473582

Greatest Common Factor of 424,125,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,125,312 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 424,125,312 . The biggest common factor number is the GCF number.
So the greatest common factor 424,125,312 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 629/424, 547/125, 914/312

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 629/424, 547/125, 914/312?

Answer: LCM of Numerators as per given numbers 629/424, 547/125, 914/312 is

LCM of Numerators i.e. for 629,547,914 is 314473582

GCF of denominators i.e. for 424,125,312 is 1.

Thus, LCM of Fractions is 314473582.Finally, LCM of Fractions for 629/424, 547/125, 914/312 is 314473582.