Least Common Multiple of 49/86, 30/84, 71/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/86, 30/84, 71/280 quickly i.e. 52185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/86, 30/84, 71/280 is 52185.

LCM(49/86, 30/84, 71/280) = 52185

LCM of 49/86, 30/84, 71/280

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 49/86,30/84,71/280

Given numbers are 49/86,30/84,71/280

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 49,30,71

Least Common Multiple of Numerators i.e. LCM of 49,30,71 is 104370.

GCF of Denominators means GCF of 86,84,280 as per the given fractions.

GCF of 86,84,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,30,71

LCM of Fractions 49/86,30/84,71/280 is 52185

Given numbers has no common factors except 1. So, there LCM is their product i.e 104370

Least Common Multiple of 49,30,71 with GCF Formula

Least Common Multiple of 49,30,71 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 49,30,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,30,71) = 1

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

GCF(49,30,71) x common factors =1 x 1 = 1

LCM(49,30,71) = ( 49 × 30 × 71 ) / 1

LCM(49,30,71) = 104370 / 1

LCM(49,30,71) = 104370


Lets's calculate GCF of 86,84,280

2 86, 84, 280
43, 42, 140

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104370/2

Therefore the LCM of Fractions 49/86,30/84,71/280 is 52185

Greatest Common Factor of 86,84,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,84,280 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 86,84,280 . The biggest common factor number is the GCF number.
So the greatest common factor 86,84,280 is 2.


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 49/86, 30/84, 71/280

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 49/86, 30/84, 71/280?

Answer: LCM of Numerators as per given numbers 49/86, 30/84, 71/280 is

LCM of Numerators i.e. for 49,30,71 is 104370

GCF of denominators i.e. for 86,84,280 is 2.

Thus, LCM of Fractions is 52185.Finally, LCM of Fractions for 49/86, 30/84, 71/280 is 52185.