LCM of 553, 942, 628, 609, 291
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 942, 628, 609, 291 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 553, 942, 628, 609, 291. So, keep reading to learn more.
Given numbers are 553,942,628,609,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,942,628,609,291 is 2930729676.
Find LCM of 553,942,628,609,291 with Prime Factorization
| 2 | 553, 942, 628, 609, 291 |
| 3 | 553, 471, 314, 609, 291 |
| 7 | 553, 157, 314, 203, 97 |
| 157 | 79, 157, 314, 29, 97 |
| 79, 1, 2, 29, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 157 x 79 x 1 x 2 x 29 x 97 = 2930729676
Therefore, the lowest common multiple of 553,942,628,609,291 is 2930729676.
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.
553 x 942 x 628 x 609 x 291 = 57975694450632
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.
553 : 1, 7, 79, 553
942 : 1, 2, 3, 6, 157, 314, 471, 942
628 : 1, 2, 4, 157, 314, 628
609 : 1, 3, 7, 21, 29, 87, 203, 609
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,942,628,609,291, is 1.
Now, the common factors can be found like this.
553:7x 79
942:2x 3x 157
628:2x 2x 157
609:3x 7x 29
291:3x 97
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 3x 7x 157 = 19782
Therefore, the value for common factors is 19782.
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 = 57975694450632/(1x19782)
LCM = 57975694450632/19782
LCM = 2930729676
Thus, we can understand that the LCM of 553,942,628,609,291 is 2930729676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 553, 942, 628, 609, 291
1. What is the LCM of 553, 942, 628, 609, 291?
Answer: LCM of 553, 942, 628, 609, 291 is 2930729676.
2. How to calculate the LCM of 553, 942, 628, 609, 291?
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 553, 942, 628, 609, 291.
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}.