Least Common Multiple of 40/966, 4906/1488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/966, 4906/1488 quickly i.e. 98120/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/966, 4906/1488 is 98120/6.

LCM(40/966, 4906/1488) = 98120/6

LCM of 40/966, 4906/1488

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 40/966,4906/1488

Given numbers are 40/966,4906/1488

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 40,4906

Least Common Multiple of Numerators i.e. LCM of 40,4906 is 98120.

GCF of Denominators means GCF of 966,1488 as per the given fractions.

GCF of 966,1488 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,4906

LCM of Fractions 40/966,4906/1488 is 98120/6

2 40, 4906
20, 2453

∴ So the LCM of the given numbers is 2 x 20 x 2453 = 98120

Least Common Multiple of 40,4906 with GCF Formula

Least Common Multiple of 40,4906 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 40,4906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,4906) = 2

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

GCF(40,4906) x common factors =2 x 1 = 2

LCM(40,4906) = ( 40 × 4906 ) / 2

LCM(40,4906) = 196240 / 2

LCM(40,4906) = 98120


Lets's calculate GCF of 966,1488

2 966, 1488
3 483, 744
161, 248

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98120/6

Therefore the LCM of Fractions 40/966,4906/1488 is 98120/6

Greatest Common Factor of 966,1488 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,1488 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488

Greatest Common Factor

We found the factors 966,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 966,1488 is 6.


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 40/966, 4906/1488

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 40/966, 4906/1488?

Answer: LCM of Numerators as per given numbers 40/966, 4906/1488 is

LCM of Numerators i.e. for 40,4906 is 98120

GCF of denominators i.e. for 966,1488 is 6.

Thus, LCM of Fractions is 98120/6.Finally, LCM of Fractions for 40/966, 4906/1488 is 98120/6.