Least Common Multiple of 48/86, 768/79, 574/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/86, 768/79, 574/525 quickly i.e. 220416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/86, 768/79, 574/525 is 220416.

LCM(48/86, 768/79, 574/525) = 220416

LCM of 48/86, 768/79, 574/525

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 48/86,768/79,574/525

Given numbers are 48/86,768/79,574/525

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 48,768,574

Least Common Multiple of Numerators i.e. LCM of 48,768,574 is 220416.

GCF of Denominators means GCF of 86,79,525 as per the given fractions.

GCF of 86,79,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,768,574

LCM of Fractions 48/86,768/79,574/525 is 220416

2 48, 768, 574
2 24, 384, 287
2 12, 192, 287
2 6, 96, 287
3 3, 48, 287
1, 16, 287

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 16 x 287 = 220416

Least Common Multiple of 48,768,574 with GCF Formula

Least Common Multiple of 48,768,574 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 48,768,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,768,574) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(48,768,574) x common factors =2 x 48 = 96

LCM(48,768,574) = ( 48 × 768 × 574 ) / 96

LCM(48,768,574) = 21159936 / 96

LCM(48,768,574) = 220416


Lets's calculate GCF of 86,79,525

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220416/1

Therefore the LCM of Fractions 48/86,768/79,574/525 is 220416

Greatest Common Factor of 86,79,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,79,525 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 86,79,525 . The biggest common factor number is the GCF number.
So the greatest common factor 86,79,525 is 1.


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 48/86, 768/79, 574/525

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 48/86, 768/79, 574/525?

Answer: LCM of Numerators as per given numbers 48/86, 768/79, 574/525 is

LCM of Numerators i.e. for 48,768,574 is 220416

GCF of denominators i.e. for 86,79,525 is 1.

Thus, LCM of Fractions is 220416.Finally, LCM of Fractions for 48/86, 768/79, 574/525 is 220416.