Least Common Multiple of 492/744, 616/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/744, 616/660 quickly i.e. 6314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/744, 616/660 is 6314.

LCM(492/744, 616/660) = 6314

LCM of 492/744, 616/660

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 492/744,616/660

Given numbers are 492/744,616/660

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 492,616

Least Common Multiple of Numerators i.e. LCM of 492,616 is 75768.

GCF of Denominators means GCF of 744,660 as per the given fractions.

GCF of 744,660 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,616

LCM of Fractions 492/744,616/660 is 6314

2 492, 616
2 246, 308
123, 154

∴ So the LCM of the given numbers is 2 x 2 x 123 x 154 = 75768

Least Common Multiple of 492,616 with GCF Formula

Least Common Multiple of 492,616 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 492,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,616) = 4

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

GCF(492,616) x common factors =4 x 1 = 4

LCM(492,616) = ( 492 × 616 ) / 4

LCM(492,616) = 303072 / 4

LCM(492,616) = 75768


Lets's calculate GCF of 744,660

2 744, 660
2 372, 330
3 186, 165
62, 55

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75768/12

Therefore the LCM of Fractions 492/744,616/660 is 6314

Greatest Common Factor of 744,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,660 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 744,660 . The biggest common factor number is the GCF number.
So the greatest common factor 744,660 is 12.


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 492/744, 616/660

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 492/744, 616/660?

Answer: LCM of Numerators as per given numbers 492/744, 616/660 is

LCM of Numerators i.e. for 492,616 is 75768

GCF of denominators i.e. for 744,660 is 12.

Thus, LCM of Fractions is 6314.Finally, LCM of Fractions for 492/744, 616/660 is 6314.