Least Common Multiple of 19/562, 61/967, 275/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/562, 61/967, 275/751 quickly i.e. 318725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/562, 61/967, 275/751 is 318725.

LCM(19/562, 61/967, 275/751) = 318725

LCM of 19/562, 61/967, 275/751

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 19/562,61/967,275/751

Given numbers are 19/562,61/967,275/751

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 19,61,275

Least Common Multiple of Numerators i.e. LCM of 19,61,275 is 318725.

GCF of Denominators means GCF of 562,967,751 as per the given fractions.

GCF of 562,967,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,61,275

LCM of Fractions 19/562,61/967,275/751 is 318725

Given numbers has no common factors except 1. So, there LCM is their product i.e 318725

Least Common Multiple of 19,61,275 with GCF Formula

Least Common Multiple of 19,61,275 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 19,61,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,61,275) = 1

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

GCF(19,61,275) x common factors =1 x 1 = 1

LCM(19,61,275) = ( 19 × 61 × 275 ) / 1

LCM(19,61,275) = 318725 / 1

LCM(19,61,275) = 318725


Lets's calculate GCF of 562,967,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318725/1

Therefore the LCM of Fractions 19/562,61/967,275/751 is 318725

Greatest Common Factor of 562,967,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,967,751 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 562,967,751 . The biggest common factor number is the GCF number.
So the greatest common factor 562,967,751 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 19/562, 61/967, 275/751

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 19/562, 61/967, 275/751?

Answer: LCM of Numerators as per given numbers 19/562, 61/967, 275/751 is

LCM of Numerators i.e. for 19,61,275 is 318725

GCF of denominators i.e. for 562,967,751 is 1.

Thus, LCM of Fractions is 318725.Finally, LCM of Fractions for 19/562, 61/967, 275/751 is 318725.