Least Common Multiple of 47/361, 67/560, 537/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/361, 67/560, 537/247 quickly i.e. 1691013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/361, 67/560, 537/247 is 1691013.

LCM(47/361, 67/560, 537/247) = 1691013

LCM of 47/361, 67/560, 537/247

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 47/361,67/560,537/247

Given numbers are 47/361,67/560,537/247

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 47,67,537

Least Common Multiple of Numerators i.e. LCM of 47,67,537 is 1691013.

GCF of Denominators means GCF of 361,560,247 as per the given fractions.

GCF of 361,560,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,67,537

LCM of Fractions 47/361,67/560,537/247 is 1691013

Given numbers has no common factors except 1. So, there LCM is their product i.e 1691013

Least Common Multiple of 47,67,537 with GCF Formula

Least Common Multiple of 47,67,537 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 47,67,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,67,537) = 1

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

GCF(47,67,537) x common factors =1 x 1 = 1

LCM(47,67,537) = ( 47 × 67 × 537 ) / 1

LCM(47,67,537) = 1691013 / 1

LCM(47,67,537) = 1691013


Lets's calculate GCF of 361,560,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1691013/1

Therefore the LCM of Fractions 47/361,67/560,537/247 is 1691013

Greatest Common Factor of 361,560,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,560,247 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 361,560,247 . The biggest common factor number is the GCF number.
So the greatest common factor 361,560,247 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 47/361, 67/560, 537/247

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 47/361, 67/560, 537/247?

Answer: LCM of Numerators as per given numbers 47/361, 67/560, 537/247 is

LCM of Numerators i.e. for 47,67,537 is 1691013

GCF of denominators i.e. for 361,560,247 is 1.

Thus, LCM of Fractions is 1691013.Finally, LCM of Fractions for 47/361, 67/560, 537/247 is 1691013.