Least Common Multiple of 32/274, 29/782, 484/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/274, 29/782, 484/490 quickly i.e. 56144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/274, 29/782, 484/490 is 56144.

LCM(32/274, 29/782, 484/490) = 56144

LCM of 32/274, 29/782, 484/490

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 32/274,29/782,484/490

Given numbers are 32/274,29/782,484/490

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 32,29,484

Least Common Multiple of Numerators i.e. LCM of 32,29,484 is 112288.

GCF of Denominators means GCF of 274,782,490 as per the given fractions.

GCF of 274,782,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,29,484

LCM of Fractions 32/274,29/782,484/490 is 56144

2 32, 29, 484
2 16, 29, 242
8, 29, 121

∴ So the LCM of the given numbers is 2 x 2 x 8 x 29 x 121 = 112288

Least Common Multiple of 32,29,484 with GCF Formula

Least Common Multiple of 32,29,484 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 32,29,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,29,484) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,29,484) x common factors =1 x 4 = 4

LCM(32,29,484) = ( 32 × 29 × 484 ) / 4

LCM(32,29,484) = 449152 / 4

LCM(32,29,484) = 112288


Lets's calculate GCF of 274,782,490

2 274, 782, 490
137, 391, 245

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112288/2

Therefore the LCM of Fractions 32/274,29/782,484/490 is 56144

Greatest Common Factor of 274,782,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,782,490 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 274,782,490 . The biggest common factor number is the GCF number.
So the greatest common factor 274,782,490 is 2.


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 32/274, 29/782, 484/490

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 32/274, 29/782, 484/490?

Answer: LCM of Numerators as per given numbers 32/274, 29/782, 484/490 is

LCM of Numerators i.e. for 32,29,484 is 112288

GCF of denominators i.e. for 274,782,490 is 2.

Thus, LCM of Fractions is 56144.Finally, LCM of Fractions for 32/274, 29/782, 484/490 is 56144.