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LCM of 558, 353, 118, 799, 654

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


Find the LCM of 558, 353, 118, 799, 654 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 558, 353, 118, 799, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 558,353,118,799,654

Given numbers are 558,353,118,799,654

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

The LCM of 558,353,118,799,654 is 1012125095406.

Find LCM of 558,353,118,799,654 with Prime Factorization


2 558, 353, 118, 799, 654
3 279, 353, 59, 799, 327
93, 353, 59, 799, 109

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

2 x 3 x 93 x 353 x 59 x 799 x 109 = 1012125095406

Therefore, the lowest common multiple of 558,353,118,799,654 is 1012125095406.

LCM Formula to Find Lowest Common Multiple of 558,353,118,799,654

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.

558 x 353 x 118 x 799 x 654 = 12145501144872

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

353 : 1, 353

118 : 1, 2, 59, 118

799 : 1, 17, 47, 799

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,353,118,799,654, is 1.

Now, the common factors can be found like this.

558:2x 3x 3x 31

353:353

118:2x 59

799:17x 47

654:2x 3x 109

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 12145501144872/(1x12)

LCM = 12145501144872/12

LCM = 1012125095406

Thus, we can understand that the LCM of 558,353,118,799,654 is 1012125095406.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 558, 353, 118, 799, 654

1. What is the LCM of 558, 353, 118, 799, 654?

Answer: LCM of 558, 353, 118, 799, 654 is 1012125095406.

2. How to calculate the LCM of 558, 353, 118, 799, 654?

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 558, 353, 118, 799, 654.

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}.