Least Common Multiple of 65/60, 218/62, 126/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/60, 218/62, 126/226 quickly i.e. 446355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/60, 218/62, 126/226 is 446355.

LCM(65/60, 218/62, 126/226) = 446355

LCM of 65/60, 218/62, 126/226

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 65/60,218/62,126/226

Given numbers are 65/60,218/62,126/226

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 65,218,126

Least Common Multiple of Numerators i.e. LCM of 65,218,126 is 892710.

GCF of Denominators means GCF of 60,62,226 as per the given fractions.

GCF of 60,62,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,218,126

LCM of Fractions 65/60,218/62,126/226 is 446355

2 65, 218, 126
65, 109, 63

∴ So the LCM of the given numbers is 2 x 65 x 109 x 63 = 892710

Least Common Multiple of 65,218,126 with GCF Formula

Least Common Multiple of 65,218,126 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 65,218,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,218,126) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(65,218,126) x common factors =1 x 2 = 2

LCM(65,218,126) = ( 65 × 218 × 126 ) / 2

LCM(65,218,126) = 1785420 / 2

LCM(65,218,126) = 892710


Lets's calculate GCF of 60,62,226

2 60, 62, 226
30, 31, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 892710/2

Therefore the LCM of Fractions 65/60,218/62,126/226 is 446355

Greatest Common Factor of 60,62,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,62,226 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 60,62,226 . The biggest common factor number is the GCF number.
So the greatest common factor 60,62,226 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 65/60, 218/62, 126/226

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 65/60, 218/62, 126/226?

Answer: LCM of Numerators as per given numbers 65/60, 218/62, 126/226 is

LCM of Numerators i.e. for 65,218,126 is 892710

GCF of denominators i.e. for 60,62,226 is 2.

Thus, LCM of Fractions is 446355.Finally, LCM of Fractions for 65/60, 218/62, 126/226 is 446355.