Least Common Multiple of 44/632, 23/760, 494/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/632, 23/760, 494/464 quickly i.e. 249964/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/632, 23/760, 494/464 is 249964/8.

LCM(44/632, 23/760, 494/464) = 249964/8

LCM of 44/632, 23/760, 494/464

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 44/632,23/760,494/464

Given numbers are 44/632,23/760,494/464

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 44,23,494

Least Common Multiple of Numerators i.e. LCM of 44,23,494 is 249964.

GCF of Denominators means GCF of 632,760,464 as per the given fractions.

GCF of 632,760,464 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,23,494

LCM of Fractions 44/632,23/760,494/464 is 249964/8

2 44, 23, 494
22, 23, 247

∴ So the LCM of the given numbers is 2 x 22 x 23 x 247 = 249964

Least Common Multiple of 44,23,494 with GCF Formula

Least Common Multiple of 44,23,494 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 44,23,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,23,494) = 1

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

GCF(44,23,494) x common factors =1 x 2 = 2

LCM(44,23,494) = ( 44 × 23 × 494 ) / 2

LCM(44,23,494) = 499928 / 2

LCM(44,23,494) = 249964


Lets's calculate GCF of 632,760,464

2 632, 760, 464
2 316, 380, 232
2 158, 190, 116
79, 95, 58

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249964/8

Therefore the LCM of Fractions 44/632,23/760,494/464 is 249964/8

Greatest Common Factor of 632,760,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,760,464 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 632,760,464 . The biggest common factor number is the GCF number.
So the greatest common factor 632,760,464 is 8.


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 44/632, 23/760, 494/464

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 44/632, 23/760, 494/464?

Answer: LCM of Numerators as per given numbers 44/632, 23/760, 494/464 is

LCM of Numerators i.e. for 44,23,494 is 249964

GCF of denominators i.e. for 632,760,464 is 8.

Thus, LCM of Fractions is 249964/8.Finally, LCM of Fractions for 44/632, 23/760, 494/464 is 249964/8.