Least Common Multiple of 36/86, 780/46, 410/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/86, 780/46, 410/222 quickly i.e. 47970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/86, 780/46, 410/222 is 47970.

LCM(36/86, 780/46, 410/222) = 47970

LCM of 36/86, 780/46, 410/222

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 36/86,780/46,410/222

Given numbers are 36/86,780/46,410/222

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 36,780,410

Least Common Multiple of Numerators i.e. LCM of 36,780,410 is 95940.

GCF of Denominators means GCF of 86,46,222 as per the given fractions.

GCF of 86,46,222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,780,410

LCM of Fractions 36/86,780/46,410/222 is 47970

2 36, 780, 410
2 18, 390, 205
3 9, 195, 205
5 3, 65, 205
3, 13, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 13 x 41 = 95940

Least Common Multiple of 36,780,410 with GCF Formula

Least Common Multiple of 36,780,410 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 36,780,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,780,410) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(36,780,410) x common factors =2 x 60 = 120

LCM(36,780,410) = ( 36 × 780 × 410 ) / 120

LCM(36,780,410) = 11512800 / 120

LCM(36,780,410) = 95940


Lets's calculate GCF of 86,46,222

2 86, 46, 222
43, 23, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95940/2

Therefore the LCM of Fractions 36/86,780/46,410/222 is 47970

Greatest Common Factor of 86,46,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,46,222 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 86,46,222 . The biggest common factor number is the GCF number.
So the greatest common factor 86,46,222 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 36/86, 780/46, 410/222

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 36/86, 780/46, 410/222?

Answer: LCM of Numerators as per given numbers 36/86, 780/46, 410/222 is

LCM of Numerators i.e. for 36,780,410 is 95940

GCF of denominators i.e. for 86,46,222 is 2.

Thus, LCM of Fractions is 47970.Finally, LCM of Fractions for 36/86, 780/46, 410/222 is 47970.