Least Common Multiple of 376/19, 974/1452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 376/19, 974/1452 quickly i.e. 183112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 376/19, 974/1452 is 183112.

LCM(376/19, 974/1452) = 183112

LCM of 376/19, 974/1452

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 376/19,974/1452

Given numbers are 376/19,974/1452

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 376,974

Least Common Multiple of Numerators i.e. LCM of 376,974 is 183112.

GCF of Denominators means GCF of 19,1452 as per the given fractions.

GCF of 19,1452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 376,974

LCM of Fractions 376/19,974/1452 is 183112

2 376, 974
188, 487

∴ So the LCM of the given numbers is 2 x 188 x 487 = 183112

Least Common Multiple of 376,974 with GCF Formula

Least Common Multiple of 376,974 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 376,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,974) = 2

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

GCF(376,974) x common factors =2 x 1 = 2

LCM(376,974) = ( 376 × 974 ) / 2

LCM(376,974) = 366224 / 2

LCM(376,974) = 183112


Lets's calculate GCF of 19,1452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183112/1

Therefore the LCM of Fractions 376/19,974/1452 is 183112

Greatest Common Factor of 19,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,1452 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 19,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 19,1452 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 376/19, 974/1452

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 376/19, 974/1452?

Answer: LCM of Numerators as per given numbers 376/19, 974/1452 is

LCM of Numerators i.e. for 376,974 is 183112

GCF of denominators i.e. for 19,1452 is 1.

Thus, LCM of Fractions is 183112.Finally, LCM of Fractions for 376/19, 974/1452 is 183112.