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LCM of 552, 393, 473, 374

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


Find the LCM of 552, 393, 473, 374 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 552, 393, 473, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,393,473,374

Given numbers are 552,393,473,374

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

The LCM of 552,393,473,374 is 581460792.

Find LCM of 552,393,473,374 with Prime Factorization


2 552, 393, 473, 374
3 276, 393, 473, 187
11 92, 131, 473, 187
92, 131, 43, 17

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

2 x 3 x 11 x 92 x 131 x 43 x 17 = 581460792

Therefore, the lowest common multiple of 552,393,473,374 is 581460792.

LCM Formula to Find Lowest Common Multiple of 552,393,473,374

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.

552 x 393 x 473 x 374 = 38376412272

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

393 : 1, 3, 131, 393

473 : 1, 11, 43, 473

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,393,473,374, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

393:3x 131

473:11x 43

374:2x 11x 17

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 38376412272/(1x66)

LCM = 38376412272/66

LCM = 581460792

Thus, we can understand that the LCM of 552,393,473,374 is 581460792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 393, 473, 374

1. What is the LCM of 552, 393, 473, 374?

Answer: LCM of 552, 393, 473, 374 is 581460792.

2. How to calculate the LCM of 552, 393, 473, 374?

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 552, 393, 473, 374.

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}.