Least Common Multiple of 464/92, 3509/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/92, 3509/556 quickly i.e. 14036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/92, 3509/556 is 14036.

LCM(464/92, 3509/556) = 14036

LCM of 464/92, 3509/556

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 464/92,3509/556

Given numbers are 464/92,3509/556

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 464,3509

Least Common Multiple of Numerators i.e. LCM of 464,3509 is 56144.

GCF of Denominators means GCF of 92,556 as per the given fractions.

GCF of 92,556 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,3509

LCM of Fractions 464/92,3509/556 is 14036

29 464, 3509
16, 121

∴ So the LCM of the given numbers is 29 x 16 x 121 = 56144

Least Common Multiple of 464,3509 with GCF Formula

Least Common Multiple of 464,3509 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 464,3509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,3509) = 29

common factors(in case of two or more numbers have common factors) = 1

GCF(464,3509) x common factors =29 x 1 = 29

LCM(464,3509) = ( 464 × 3509 ) / 29

LCM(464,3509) = 1628176 / 29

LCM(464,3509) = 56144


Lets's calculate GCF of 92,556

2 92, 556
2 46, 278
23, 139

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56144/4

Therefore the LCM of Fractions 464/92,3509/556 is 14036

Greatest Common Factor of 92,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,556 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 92,556 . The biggest common factor number is the GCF number.
So the greatest common factor 92,556 is 4.


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 464/92, 3509/556

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 464/92, 3509/556?

Answer: LCM of Numerators as per given numbers 464/92, 3509/556 is

LCM of Numerators i.e. for 464,3509 is 56144

GCF of denominators i.e. for 92,556 is 4.

Thus, LCM of Fractions is 14036.Finally, LCM of Fractions for 464/92, 3509/556 is 14036.