Least Common Multiple of 87/48, 71/536, 730/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/48, 71/536, 730/505 quickly i.e. 4509210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/48, 71/536, 730/505 is 4509210.

LCM(87/48, 71/536, 730/505) = 4509210

LCM of 87/48, 71/536, 730/505

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 87/48,71/536,730/505

Given numbers are 87/48,71/536,730/505

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 87,71,730

Least Common Multiple of Numerators i.e. LCM of 87,71,730 is 4509210.

GCF of Denominators means GCF of 48,536,505 as per the given fractions.

GCF of 48,536,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,71,730

LCM of Fractions 87/48,71/536,730/505 is 4509210

Given numbers has no common factors except 1. So, there LCM is their product i.e 4509210

Least Common Multiple of 87,71,730 with GCF Formula

Least Common Multiple of 87,71,730 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 87,71,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,71,730) = 1

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

GCF(87,71,730) x common factors =1 x 1 = 1

LCM(87,71,730) = ( 87 × 71 × 730 ) / 1

LCM(87,71,730) = 4509210 / 1

LCM(87,71,730) = 4509210


Lets's calculate GCF of 48,536,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4509210/1

Therefore the LCM of Fractions 87/48,71/536,730/505 is 4509210

Greatest Common Factor of 48,536,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,536,505 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 48,536,505 . The biggest common factor number is the GCF number.
So the greatest common factor 48,536,505 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 87/48, 71/536, 730/505

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 87/48, 71/536, 730/505?

Answer: LCM of Numerators as per given numbers 87/48, 71/536, 730/505 is

LCM of Numerators i.e. for 87,71,730 is 4509210

GCF of denominators i.e. for 48,536,505 is 1.

Thus, LCM of Fractions is 4509210.Finally, LCM of Fractions for 87/48, 71/536, 730/505 is 4509210.