Least Common Multiple of 19/745, 1135/1952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/745, 1135/1952 quickly i.e. 21565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/745, 1135/1952 is 21565.

LCM(19/745, 1135/1952) = 21565

LCM of 19/745, 1135/1952

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 19/745,1135/1952

Given numbers are 19/745,1135/1952

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 19,1135

Least Common Multiple of Numerators i.e. LCM of 19,1135 is 21565.

GCF of Denominators means GCF of 745,1952 as per the given fractions.

GCF of 745,1952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,1135

LCM of Fractions 19/745,1135/1952 is 21565

Given numbers has no common factors except 1. So, there LCM is their product i.e 21565

Least Common Multiple of 19,1135 with GCF Formula

Least Common Multiple of 19,1135 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 19,1135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,1135) = 1

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

GCF(19,1135) x common factors =1 x 1 = 1

LCM(19,1135) = ( 19 × 1135 ) / 1

LCM(19,1135) = 21565 / 1

LCM(19,1135) = 21565


Lets's calculate GCF of 745,1952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21565/1

Therefore the LCM of Fractions 19/745,1135/1952 is 21565

Greatest Common Factor of 745,1952 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,1952 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 1952

List of positive integer factors of 1952 that divides 1952 without a remainder.

1,2,4,8,16,32,61,122,244,488,976,1952

Greatest Common Factor

We found the factors 745,1952 . The biggest common factor number is the GCF number.
So the greatest common factor 745,1952 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 19/745, 1135/1952

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 19/745, 1135/1952?

Answer: LCM of Numerators as per given numbers 19/745, 1135/1952 is

LCM of Numerators i.e. for 19,1135 is 21565

GCF of denominators i.e. for 745,1952 is 1.

Thus, LCM of Fractions is 21565.Finally, LCM of Fractions for 19/745, 1135/1952 is 21565.