Least Common Multiple of 632/74, 864/38, 405/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 632/74, 864/38, 405/98 quickly i.e. 511920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/74, 864/38, 405/98 is 511920.

LCM(632/74, 864/38, 405/98) = 511920

LCM of 632/74, 864/38, 405/98

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 632/74,864/38,405/98

Given numbers are 632/74,864/38,405/98

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 632,864,405

Least Common Multiple of Numerators i.e. LCM of 632,864,405 is 1023840.

GCF of Denominators means GCF of 74,38,98 as per the given fractions.

GCF of 74,38,98 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,864,405

LCM of Fractions 632/74,864/38,405/98 is 511920

2 632, 864, 405
2 316, 432, 405
2 158, 216, 405
3 79, 108, 405
3 79, 36, 135
3 79, 12, 45
79, 4, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 79 x 4 x 15 = 1023840

Least Common Multiple of 632,864,405 with GCF Formula

Least Common Multiple of 632,864,405 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 632,864,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,864,405) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(632,864,405) x common factors =1 x 216 = 216

LCM(632,864,405) = ( 632 × 864 × 405 ) / 216

LCM(632,864,405) = 221149440 / 216

LCM(632,864,405) = 1023840


Lets's calculate GCF of 74,38,98

2 74, 38, 98
37, 19, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1023840/2

Therefore the LCM of Fractions 632/74,864/38,405/98 is 511920

Greatest Common Factor of 74,38,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,38,98 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 74,38,98 . The biggest common factor number is the GCF number.
So the greatest common factor 74,38,98 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 632/74, 864/38, 405/98

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 632/74, 864/38, 405/98?

Answer: LCM of Numerators as per given numbers 632/74, 864/38, 405/98 is

LCM of Numerators i.e. for 632,864,405 is 1023840

GCF of denominators i.e. for 74,38,98 is 2.

Thus, LCM of Fractions is 511920.Finally, LCM of Fractions for 632/74, 864/38, 405/98 is 511920.