Least Common Multiple of 45/348, 18/714, 629/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/348, 18/714, 629/594 quickly i.e. 9435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/348, 18/714, 629/594 is 9435.

LCM(45/348, 18/714, 629/594) = 9435

LCM of 45/348, 18/714, 629/594

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 45/348,18/714,629/594

Given numbers are 45/348,18/714,629/594

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 45,18,629

Least Common Multiple of Numerators i.e. LCM of 45,18,629 is 56610.

GCF of Denominators means GCF of 348,714,594 as per the given fractions.

GCF of 348,714,594 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,18,629

LCM of Fractions 45/348,18/714,629/594 is 9435

3 45, 18, 629
3 15, 6, 629
5, 2, 629

∴ So the LCM of the given numbers is 3 x 3 x 5 x 2 x 629 = 56610

Least Common Multiple of 45,18,629 with GCF Formula

Least Common Multiple of 45,18,629 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 45,18,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,18,629) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,18,629) x common factors =1 x 9 = 9

LCM(45,18,629) = ( 45 × 18 × 629 ) / 9

LCM(45,18,629) = 509490 / 9

LCM(45,18,629) = 56610


Lets's calculate GCF of 348,714,594

2 348, 714, 594
3 174, 357, 297
58, 119, 99

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56610/6

Therefore the LCM of Fractions 45/348,18/714,629/594 is 9435

Greatest Common Factor of 348,714,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,714,594 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 348,714,594 . The biggest common factor number is the GCF number.
So the greatest common factor 348,714,594 is 6.


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 45/348, 18/714, 629/594

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 45/348, 18/714, 629/594?

Answer: LCM of Numerators as per given numbers 45/348, 18/714, 629/594 is

LCM of Numerators i.e. for 45,18,629 is 56610

GCF of denominators i.e. for 348,714,594 is 6.

Thus, LCM of Fractions is 9435.Finally, LCM of Fractions for 45/348, 18/714, 629/594 is 9435.