Least Common Multiple of 19/456, 365/893, 972/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/456, 365/893, 972/740 quickly i.e. 6740820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/456, 365/893, 972/740 is 6740820.

LCM(19/456, 365/893, 972/740) = 6740820

LCM of 19/456, 365/893, 972/740

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 19/456,365/893,972/740

Given numbers are 19/456,365/893,972/740

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 19,365,972

Least Common Multiple of Numerators i.e. LCM of 19,365,972 is 6740820.

GCF of Denominators means GCF of 456,893,740 as per the given fractions.

GCF of 456,893,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,365,972

LCM of Fractions 19/456,365/893,972/740 is 6740820

Given numbers has no common factors except 1. So, there LCM is their product i.e 6740820

Least Common Multiple of 19,365,972 with GCF Formula

Least Common Multiple of 19,365,972 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 19,365,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,365,972) = 1

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

GCF(19,365,972) x common factors =1 x 1 = 1

LCM(19,365,972) = ( 19 × 365 × 972 ) / 1

LCM(19,365,972) = 6740820 / 1

LCM(19,365,972) = 6740820


Lets's calculate GCF of 456,893,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6740820/1

Therefore the LCM of Fractions 19/456,365/893,972/740 is 6740820

Greatest Common Factor of 456,893,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,893,740 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 456,893,740 . The biggest common factor number is the GCF number.
So the greatest common factor 456,893,740 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 19/456, 365/893, 972/740

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 19/456, 365/893, 972/740?

Answer: LCM of Numerators as per given numbers 19/456, 365/893, 972/740 is

LCM of Numerators i.e. for 19,365,972 is 6740820

GCF of denominators i.e. for 456,893,740 is 1.

Thus, LCM of Fractions is 6740820.Finally, LCM of Fractions for 19/456, 365/893, 972/740 is 6740820.