Least Common Multiple of 59/227, 42/110, 780/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/227, 42/110, 780/736 quickly i.e. 322140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/227, 42/110, 780/736 is 322140.

LCM(59/227, 42/110, 780/736) = 322140

LCM of 59/227, 42/110, 780/736

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 59/227,42/110,780/736

Given numbers are 59/227,42/110,780/736

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 59,42,780

Least Common Multiple of Numerators i.e. LCM of 59,42,780 is 322140.

GCF of Denominators means GCF of 227,110,736 as per the given fractions.

GCF of 227,110,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,42,780

LCM of Fractions 59/227,42/110,780/736 is 322140

2 59, 42, 780
3 59, 21, 390
59, 7, 130

∴ So the LCM of the given numbers is 2 x 3 x 59 x 7 x 130 = 322140

Least Common Multiple of 59,42,780 with GCF Formula

Least Common Multiple of 59,42,780 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 59,42,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,42,780) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(59,42,780) x common factors =1 x 6 = 6

LCM(59,42,780) = ( 59 × 42 × 780 ) / 6

LCM(59,42,780) = 1932840 / 6

LCM(59,42,780) = 322140


Lets's calculate GCF of 227,110,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322140/1

Therefore the LCM of Fractions 59/227,42/110,780/736 is 322140

Greatest Common Factor of 227,110,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,110,736 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 227,110,736 . The biggest common factor number is the GCF number.
So the greatest common factor 227,110,736 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 59/227, 42/110, 780/736

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 59/227, 42/110, 780/736?

Answer: LCM of Numerators as per given numbers 59/227, 42/110, 780/736 is

LCM of Numerators i.e. for 59,42,780 is 322140

GCF of denominators i.e. for 227,110,736 is 1.

Thus, LCM of Fractions is 322140.Finally, LCM of Fractions for 59/227, 42/110, 780/736 is 322140.