Least Common Multiple of 224/372, 619/495, 982/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/372, 619/495, 982/790 quickly i.e. 68080096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/372, 619/495, 982/790 is 68080096.

LCM(224/372, 619/495, 982/790) = 68080096

LCM of 224/372, 619/495, 982/790

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 224/372,619/495,982/790

Given numbers are 224/372,619/495,982/790

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 224,619,982

Least Common Multiple of Numerators i.e. LCM of 224,619,982 is 68080096.

GCF of Denominators means GCF of 372,495,790 as per the given fractions.

GCF of 372,495,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,619,982

LCM of Fractions 224/372,619/495,982/790 is 68080096

2 224, 619, 982
112, 619, 491

∴ So the LCM of the given numbers is 2 x 112 x 619 x 491 = 68080096

Least Common Multiple of 224,619,982 with GCF Formula

Least Common Multiple of 224,619,982 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 224,619,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,619,982) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(224,619,982) x common factors =1 x 2 = 2

LCM(224,619,982) = ( 224 × 619 × 982 ) / 2

LCM(224,619,982) = 136160192 / 2

LCM(224,619,982) = 68080096


Lets's calculate GCF of 372,495,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68080096/1

Therefore the LCM of Fractions 224/372,619/495,982/790 is 68080096

Greatest Common Factor of 372,495,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,495,790 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 372,495,790 . The biggest common factor number is the GCF number.
So the greatest common factor 372,495,790 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 224/372, 619/495, 982/790

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 224/372, 619/495, 982/790?

Answer: LCM of Numerators as per given numbers 224/372, 619/495, 982/790 is

LCM of Numerators i.e. for 224,619,982 is 68080096

GCF of denominators i.e. for 372,495,790 is 1.

Thus, LCM of Fractions is 68080096.Finally, LCM of Fractions for 224/372, 619/495, 982/790 is 68080096.