Least Common Multiple of 466/78, 5516/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/78, 5516/975 quickly i.e. 1285228/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/78, 5516/975 is 1285228/39.

LCM(466/78, 5516/975) = 1285228/39

LCM of 466/78, 5516/975

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 466/78,5516/975

Given numbers are 466/78,5516/975

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 466,5516

Least Common Multiple of Numerators i.e. LCM of 466,5516 is 1285228.

GCF of Denominators means GCF of 78,975 as per the given fractions.

GCF of 78,975 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,5516

LCM of Fractions 466/78,5516/975 is 1285228/39

2 466, 5516
233, 2758

∴ So the LCM of the given numbers is 2 x 233 x 2758 = 1285228

Least Common Multiple of 466,5516 with GCF Formula

Least Common Multiple of 466,5516 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 466,5516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,5516) = 2

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

GCF(466,5516) x common factors =2 x 1 = 2

LCM(466,5516) = ( 466 × 5516 ) / 2

LCM(466,5516) = 2570456 / 2

LCM(466,5516) = 1285228


Lets's calculate GCF of 78,975

3 78, 975
13 26, 325
2, 25

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1285228/39

Therefore the LCM of Fractions 466/78,5516/975 is 1285228/39

Greatest Common Factor of 78,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,975 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 78,975 . The biggest common factor number is the GCF number.
So the greatest common factor 78,975 is 39.


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 466/78, 5516/975

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 466/78, 5516/975?

Answer: LCM of Numerators as per given numbers 466/78, 5516/975 is

LCM of Numerators i.e. for 466,5516 is 1285228

GCF of denominators i.e. for 78,975 is 39.

Thus, LCM of Fractions is 1285228/39.Finally, LCM of Fractions for 466/78, 5516/975 is 1285228/39.