Least Common Multiple of 67/226, 416/832, 264/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/226, 416/832, 264/956 quickly i.e. 459888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/226, 416/832, 264/956 is 459888.

LCM(67/226, 416/832, 264/956) = 459888

LCM of 67/226, 416/832, 264/956

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 67/226,416/832,264/956

Given numbers are 67/226,416/832,264/956

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 67,416,264

Least Common Multiple of Numerators i.e. LCM of 67,416,264 is 919776.

GCF of Denominators means GCF of 226,832,956 as per the given fractions.

GCF of 226,832,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,416,264

LCM of Fractions 67/226,416/832,264/956 is 459888

2 67, 416, 264
2 67, 208, 132
2 67, 104, 66
67, 52, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 52 x 33 = 919776

Least Common Multiple of 67,416,264 with GCF Formula

Least Common Multiple of 67,416,264 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 67,416,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,416,264) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(67,416,264) x common factors =1 x 8 = 8

LCM(67,416,264) = ( 67 × 416 × 264 ) / 8

LCM(67,416,264) = 7358208 / 8

LCM(67,416,264) = 919776


Lets's calculate GCF of 226,832,956

2 226, 832, 956
113, 416, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 919776/2

Therefore the LCM of Fractions 67/226,416/832,264/956 is 459888

Greatest Common Factor of 226,832,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,832,956 By Matching Biggest Common Factor Method

Factors of 226

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

1,2,113,226

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 226,832,956 . The biggest common factor number is the GCF number.
So the greatest common factor 226,832,956 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 67/226, 416/832, 264/956

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 67/226, 416/832, 264/956?

Answer: LCM of Numerators as per given numbers 67/226, 416/832, 264/956 is

LCM of Numerators i.e. for 67,416,264 is 919776

GCF of denominators i.e. for 226,832,956 is 2.

Thus, LCM of Fractions is 459888.Finally, LCM of Fractions for 67/226, 416/832, 264/956 is 459888.