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LCM of 473, 748, 403, 650

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 473, 748, 403, 650 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 473, 748, 403, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,748,403,650

Given numbers are 473,748,403,650

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 473,748,403,650 is 324052300.

Find LCM of 473,748,403,650 with Prime Factorization


2 473, 748, 403, 650
11 473, 374, 403, 325
13 43, 34, 403, 325
43, 34, 31, 25

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 13 x 43 x 34 x 31 x 25 = 324052300

Therefore, the lowest common multiple of 473,748,403,650 is 324052300.

LCM Formula to Find Lowest Common Multiple of 473,748,403,650

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

473 x 748 x 403 x 650 = 92678957800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

473 : 1, 11, 43, 473

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

403 : 1, 13, 31, 403

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,748,403,650, is 1.

Now, the common factors can be found like this.

473:11x 43

748:2x 2x 11x 17

403:13x 31

650:2x 5x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 13 = 286

Therefore, the value for common factors is 286.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 92678957800/(1x286)

LCM = 92678957800/286

LCM = 324052300

Thus, we can understand that the LCM of 473,748,403,650 is 324052300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 748, 403, 650

1. What is the LCM of 473, 748, 403, 650?

Answer: LCM of 473, 748, 403, 650 is 324052300.

2. How to calculate the LCM of 473, 748, 403, 650?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 473, 748, 403, 650.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.