Least Common Multiple of 45/71, 351/38, 675/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/71, 351/38, 675/614 quickly i.e. 8775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/71, 351/38, 675/614 is 8775.

LCM(45/71, 351/38, 675/614) = 8775

LCM of 45/71, 351/38, 675/614

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 45/71,351/38,675/614

Given numbers are 45/71,351/38,675/614

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 45,351,675

Least Common Multiple of Numerators i.e. LCM of 45,351,675 is 8775.

GCF of Denominators means GCF of 71,38,614 as per the given fractions.

GCF of 71,38,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,351,675

LCM of Fractions 45/71,351/38,675/614 is 8775

3 45, 351, 675
3 15, 117, 225
3 5, 39, 75
5 5, 13, 25
1, 13, 5

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 1 x 13 x 5 = 8775

Least Common Multiple of 45,351,675 with GCF Formula

Least Common Multiple of 45,351,675 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 45,351,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,351,675) = 9

common factors(in case of two or more numbers have common factors) = 135

GCF(45,351,675) x common factors =9 x 135 = 1215

LCM(45,351,675) = ( 45 × 351 × 675 ) / 1215

LCM(45,351,675) = 10661625 / 1215

LCM(45,351,675) = 8775


Lets's calculate GCF of 71,38,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8775/1

Therefore the LCM of Fractions 45/71,351/38,675/614 is 8775

Greatest Common Factor of 71,38,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,38,614 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 71,38,614 . The biggest common factor number is the GCF number.
So the greatest common factor 71,38,614 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 45/71, 351/38, 675/614

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 45/71, 351/38, 675/614?

Answer: LCM of Numerators as per given numbers 45/71, 351/38, 675/614 is

LCM of Numerators i.e. for 45,351,675 is 8775

GCF of denominators i.e. for 71,38,614 is 1.

Thus, LCM of Fractions is 8775.Finally, LCM of Fractions for 45/71, 351/38, 675/614 is 8775.