Least Common Multiple of 23/684, 870/536, 227/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/684, 870/536, 227/596 quickly i.e. 4542270/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/684, 870/536, 227/596 is 4542270/4.

LCM(23/684, 870/536, 227/596) = 4542270/4

LCM of 23/684, 870/536, 227/596

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 23/684,870/536,227/596

Given numbers are 23/684,870/536,227/596

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 23,870,227

Least Common Multiple of Numerators i.e. LCM of 23,870,227 is 4542270.

GCF of Denominators means GCF of 684,536,596 as per the given fractions.

GCF of 684,536,596 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,870,227

LCM of Fractions 23/684,870/536,227/596 is 4542270/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 4542270

Least Common Multiple of 23,870,227 with GCF Formula

Least Common Multiple of 23,870,227 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 23,870,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,870,227) = 1

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

GCF(23,870,227) x common factors =1 x 1 = 1

LCM(23,870,227) = ( 23 × 870 × 227 ) / 1

LCM(23,870,227) = 4542270 / 1

LCM(23,870,227) = 4542270


Lets's calculate GCF of 684,536,596

2 684, 536, 596
2 342, 268, 298
171, 134, 149

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4542270/4

Therefore the LCM of Fractions 23/684,870/536,227/596 is 4542270/4

Greatest Common Factor of 684,536,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,536,596 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

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 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 684,536,596 . The biggest common factor number is the GCF number.
So the greatest common factor 684,536,596 is 4.


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 23/684, 870/536, 227/596

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 23/684, 870/536, 227/596?

Answer: LCM of Numerators as per given numbers 23/684, 870/536, 227/596 is

LCM of Numerators i.e. for 23,870,227 is 4542270

GCF of denominators i.e. for 684,536,596 is 4.

Thus, LCM of Fractions is 4542270/4.Finally, LCM of Fractions for 23/684, 870/536, 227/596 is 4542270/4.