Least Common Multiple of 15/374, 2880/2758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/374, 2880/2758 quickly i.e. 1440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/374, 2880/2758 is 1440.

LCM(15/374, 2880/2758) = 1440

LCM of 15/374, 2880/2758

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 15/374,2880/2758

Given numbers are 15/374,2880/2758

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 15,2880

Least Common Multiple of Numerators i.e. LCM of 15,2880 is 2880.

GCF of Denominators means GCF of 374,2758 as per the given fractions.

GCF of 374,2758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,2880

LCM of Fractions 15/374,2880/2758 is 1440

3 15, 2880
5 5, 960
1, 192

∴ So the LCM of the given numbers is 3 x 5 x 1 x 192 = 2880

Least Common Multiple of 15,2880 with GCF Formula

Least Common Multiple of 15,2880 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 15,2880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,2880) = 15

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

GCF(15,2880) x common factors =15 x 1 = 15

LCM(15,2880) = ( 15 × 2880 ) / 15

LCM(15,2880) = 43200 / 15

LCM(15,2880) = 2880


Lets's calculate GCF of 374,2758

2 374, 2758
187, 1379

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880/2

Therefore the LCM of Fractions 15/374,2880/2758 is 1440

Greatest Common Factor of 374,2758 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,2758 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 2758

List of positive integer factors of 2758 that divides 2758 without a remainder.

1,2,7,14,197,394,1379,2758

Greatest Common Factor

We found the factors 374,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 374,2758 is 2.


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 15/374, 2880/2758

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 15/374, 2880/2758?

Answer: LCM of Numerators as per given numbers 15/374, 2880/2758 is

LCM of Numerators i.e. for 15,2880 is 2880

GCF of denominators i.e. for 374,2758 is 2.

Thus, LCM of Fractions is 1440.Finally, LCM of Fractions for 15/374, 2880/2758 is 1440.