Least Common Multiple of 356/43, 574/94, 409/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/43, 574/94, 409/725 quickly i.e. 41788348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/43, 574/94, 409/725 is 41788348.

LCM(356/43, 574/94, 409/725) = 41788348

LCM of 356/43, 574/94, 409/725

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 356/43,574/94,409/725

Given numbers are 356/43,574/94,409/725

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 356,574,409

Least Common Multiple of Numerators i.e. LCM of 356,574,409 is 41788348.

GCF of Denominators means GCF of 43,94,725 as per the given fractions.

GCF of 43,94,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,574,409

LCM of Fractions 356/43,574/94,409/725 is 41788348

2 356, 574, 409
178, 287, 409

∴ So the LCM of the given numbers is 2 x 178 x 287 x 409 = 41788348

Least Common Multiple of 356,574,409 with GCF Formula

Least Common Multiple of 356,574,409 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 356,574,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,574,409) = 1

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

GCF(356,574,409) x common factors =1 x 2 = 2

LCM(356,574,409) = ( 356 × 574 × 409 ) / 2

LCM(356,574,409) = 83576696 / 2

LCM(356,574,409) = 41788348


Lets's calculate GCF of 43,94,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41788348/1

Therefore the LCM of Fractions 356/43,574/94,409/725 is 41788348

Greatest Common Factor of 43,94,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,94,725 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 43,94,725 . The biggest common factor number is the GCF number.
So the greatest common factor 43,94,725 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 356/43, 574/94, 409/725

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 356/43, 574/94, 409/725?

Answer: LCM of Numerators as per given numbers 356/43, 574/94, 409/725 is

LCM of Numerators i.e. for 356,574,409 is 41788348

GCF of denominators i.e. for 43,94,725 is 1.

Thus, LCM of Fractions is 41788348.Finally, LCM of Fractions for 356/43, 574/94, 409/725 is 41788348.