Least Common Multiple of 442/67, 721/74, 853/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/67, 721/74, 853/592 quickly i.e. 271835746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/67, 721/74, 853/592 is 271835746.

LCM(442/67, 721/74, 853/592) = 271835746

LCM of 442/67, 721/74, 853/592

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 442/67,721/74,853/592

Given numbers are 442/67,721/74,853/592

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 442,721,853

Least Common Multiple of Numerators i.e. LCM of 442,721,853 is 271835746.

GCF of Denominators means GCF of 67,74,592 as per the given fractions.

GCF of 67,74,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,721,853

LCM of Fractions 442/67,721/74,853/592 is 271835746

Given numbers has no common factors except 1. So, there LCM is their product i.e 271835746

Least Common Multiple of 442,721,853 with GCF Formula

Least Common Multiple of 442,721,853 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 442,721,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,721,853) = 1

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

GCF(442,721,853) x common factors =1 x 1 = 1

LCM(442,721,853) = ( 442 × 721 × 853 ) / 1

LCM(442,721,853) = 271835746 / 1

LCM(442,721,853) = 271835746


Lets's calculate GCF of 67,74,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271835746/1

Therefore the LCM of Fractions 442/67,721/74,853/592 is 271835746

Greatest Common Factor of 67,74,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,74,592 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 67,74,592 . The biggest common factor number is the GCF number.
So the greatest common factor 67,74,592 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 442/67, 721/74, 853/592

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 442/67, 721/74, 853/592?

Answer: LCM of Numerators as per given numbers 442/67, 721/74, 853/592 is

LCM of Numerators i.e. for 442,721,853 is 271835746

GCF of denominators i.e. for 67,74,592 is 1.

Thus, LCM of Fractions is 271835746.Finally, LCM of Fractions for 442/67, 721/74, 853/592 is 271835746.