Least Common Multiple of 36/786, 68/104, 230/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/786, 68/104, 230/454 quickly i.e. 35190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/786, 68/104, 230/454 is 35190.

LCM(36/786, 68/104, 230/454) = 35190

LCM of 36/786, 68/104, 230/454

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 36/786,68/104,230/454

Given numbers are 36/786,68/104,230/454

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 36,68,230

Least Common Multiple of Numerators i.e. LCM of 36,68,230 is 70380.

GCF of Denominators means GCF of 786,104,454 as per the given fractions.

GCF of 786,104,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,68,230

LCM of Fractions 36/786,68/104,230/454 is 35190

2 36, 68, 230
2 18, 34, 115
9, 17, 115

∴ So the LCM of the given numbers is 2 x 2 x 9 x 17 x 115 = 70380

Least Common Multiple of 36,68,230 with GCF Formula

Least Common Multiple of 36,68,230 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 36,68,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,68,230) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,68,230) x common factors =2 x 4 = 8

LCM(36,68,230) = ( 36 × 68 × 230 ) / 8

LCM(36,68,230) = 563040 / 8

LCM(36,68,230) = 70380


Lets's calculate GCF of 786,104,454

2 786, 104, 454
393, 52, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70380/2

Therefore the LCM of Fractions 36/786,68/104,230/454 is 35190

Greatest Common Factor of 786,104,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,104,454 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 786,104,454 . The biggest common factor number is the GCF number.
So the greatest common factor 786,104,454 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 36/786, 68/104, 230/454

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 36/786, 68/104, 230/454?

Answer: LCM of Numerators as per given numbers 36/786, 68/104, 230/454 is

LCM of Numerators i.e. for 36,68,230 is 70380

GCF of denominators i.e. for 786,104,454 is 2.

Thus, LCM of Fractions is 35190.Finally, LCM of Fractions for 36/786, 68/104, 230/454 is 35190.