Least Common Multiple of 1509/45, 2115/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1509/45, 2115/914 quickly i.e. 1063845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1509/45, 2115/914 is 1063845.

LCM(1509/45, 2115/914) = 1063845

LCM of 1509/45, 2115/914

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 1509/45,2115/914

Given numbers are 1509/45,2115/914

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 1509,2115

Least Common Multiple of Numerators i.e. LCM of 1509,2115 is 1063845.

GCF of Denominators means GCF of 45,914 as per the given fractions.

GCF of 45,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1509,2115

LCM of Fractions 1509/45,2115/914 is 1063845

3 1509, 2115
503, 705

∴ So the LCM of the given numbers is 3 x 503 x 705 = 1063845

Least Common Multiple of 1509,2115 with GCF Formula

Least Common Multiple of 1509,2115 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 1509,2115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1509,2115) = 3

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

GCF(1509,2115) x common factors =3 x 1 = 3

LCM(1509,2115) = ( 1509 × 2115 ) / 3

LCM(1509,2115) = 3191535 / 3

LCM(1509,2115) = 1063845


Lets's calculate GCF of 45,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1063845/1

Therefore the LCM of Fractions 1509/45,2115/914 is 1063845

Greatest Common Factor of 45,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,914 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 45,914 . The biggest common factor number is the GCF number.
So the greatest common factor 45,914 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 1509/45, 2115/914

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 1509/45, 2115/914?

Answer: LCM of Numerators as per given numbers 1509/45, 2115/914 is

LCM of Numerators i.e. for 1509,2115 is 1063845

GCF of denominators i.e. for 45,914 is 1.

Thus, LCM of Fractions is 1063845.Finally, LCM of Fractions for 1509/45, 2115/914 is 1063845.