Least Common Multiple of 23/497, 168/554, 670/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/497, 168/554, 670/302 quickly i.e. 1294440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/497, 168/554, 670/302 is 1294440.

LCM(23/497, 168/554, 670/302) = 1294440

LCM of 23/497, 168/554, 670/302

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 23/497,168/554,670/302

Given numbers are 23/497,168/554,670/302

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 23,168,670

Least Common Multiple of Numerators i.e. LCM of 23,168,670 is 1294440.

GCF of Denominators means GCF of 497,554,302 as per the given fractions.

GCF of 497,554,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,168,670

LCM of Fractions 23/497,168/554,670/302 is 1294440

2 23, 168, 670
23, 84, 335

∴ So the LCM of the given numbers is 2 x 23 x 84 x 335 = 1294440

Least Common Multiple of 23,168,670 with GCF Formula

Least Common Multiple of 23,168,670 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 23,168,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,168,670) = 1

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

GCF(23,168,670) x common factors =1 x 2 = 2

LCM(23,168,670) = ( 23 × 168 × 670 ) / 2

LCM(23,168,670) = 2588880 / 2

LCM(23,168,670) = 1294440


Lets's calculate GCF of 497,554,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1294440/1

Therefore the LCM of Fractions 23/497,168/554,670/302 is 1294440

Greatest Common Factor of 497,554,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,554,302 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 497,554,302 . The biggest common factor number is the GCF number.
So the greatest common factor 497,554,302 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/497, 168/554, 670/302

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 23/497, 168/554, 670/302?

Answer: LCM of Numerators as per given numbers 23/497, 168/554, 670/302 is

LCM of Numerators i.e. for 23,168,670 is 1294440

GCF of denominators i.e. for 497,554,302 is 1.

Thus, LCM of Fractions is 1294440.Finally, LCM of Fractions for 23/497, 168/554, 670/302 is 1294440.