Least Common Multiple of 246/68, 595/30, 110/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/68, 595/30, 110/28 quickly i.e. 805035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/68, 595/30, 110/28 is 805035.

LCM(246/68, 595/30, 110/28) = 805035

LCM of 246/68, 595/30, 110/28

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 246/68,595/30,110/28

Given numbers are 246/68,595/30,110/28

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 246,595,110

Least Common Multiple of Numerators i.e. LCM of 246,595,110 is 1610070.

GCF of Denominators means GCF of 68,30,28 as per the given fractions.

GCF of 68,30,28 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,595,110

LCM of Fractions 246/68,595/30,110/28 is 805035

2 246, 595, 110
5 123, 595, 55
123, 119, 11

∴ So the LCM of the given numbers is 2 x 5 x 123 x 119 x 11 = 1610070

Least Common Multiple of 246,595,110 with GCF Formula

Least Common Multiple of 246,595,110 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 246,595,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,595,110) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(246,595,110) x common factors =1 x 10 = 10

LCM(246,595,110) = ( 246 × 595 × 110 ) / 10

LCM(246,595,110) = 16100700 / 10

LCM(246,595,110) = 1610070


Lets's calculate GCF of 68,30,28

2 68, 30, 28
34, 15, 14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1610070/2

Therefore the LCM of Fractions 246/68,595/30,110/28 is 805035

Greatest Common Factor of 68,30,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,30,28 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 68,30,28 . The biggest common factor number is the GCF number.
So the greatest common factor 68,30,28 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 246/68, 595/30, 110/28

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 246/68, 595/30, 110/28?

Answer: LCM of Numerators as per given numbers 246/68, 595/30, 110/28 is

LCM of Numerators i.e. for 246,595,110 is 1610070

GCF of denominators i.e. for 68,30,28 is 2.

Thus, LCM of Fractions is 805035.Finally, LCM of Fractions for 246/68, 595/30, 110/28 is 805035.