Least Common Multiple of 23/957, 57/293, 382/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/957, 57/293, 382/411 quickly i.e. 500802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/957, 57/293, 382/411 is 500802.

LCM(23/957, 57/293, 382/411) = 500802

LCM of 23/957, 57/293, 382/411

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 23/957,57/293,382/411

Given numbers are 23/957,57/293,382/411

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 23,57,382

Least Common Multiple of Numerators i.e. LCM of 23,57,382 is 500802.

GCF of Denominators means GCF of 957,293,411 as per the given fractions.

GCF of 957,293,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,57,382

LCM of Fractions 23/957,57/293,382/411 is 500802

Given numbers has no common factors except 1. So, there LCM is their product i.e 500802

Least Common Multiple of 23,57,382 with GCF Formula

Least Common Multiple of 23,57,382 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 23,57,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,57,382) = 1

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

GCF(23,57,382) x common factors =1 x 1 = 1

LCM(23,57,382) = ( 23 × 57 × 382 ) / 1

LCM(23,57,382) = 500802 / 1

LCM(23,57,382) = 500802


Lets's calculate GCF of 957,293,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500802/1

Therefore the LCM of Fractions 23/957,57/293,382/411 is 500802

Greatest Common Factor of 957,293,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,293,411 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 957,293,411 . The biggest common factor number is the GCF number.
So the greatest common factor 957,293,411 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/957, 57/293, 382/411

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 23/957, 57/293, 382/411?

Answer: LCM of Numerators as per given numbers 23/957, 57/293, 382/411 is

LCM of Numerators i.e. for 23,57,382 is 500802

GCF of denominators i.e. for 957,293,411 is 1.

Thus, LCM of Fractions is 500802.Finally, LCM of Fractions for 23/957, 57/293, 382/411 is 500802.