LCM of 456, 352, 984, 778, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 352, 984, 778, 553 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 456, 352, 984, 778, 553. So, keep reading to learn more.
Given numbers are 456,352,984,778,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,352,984,778,553 is 176960407008.
Find LCM of 456,352,984,778,553 with Prime Factorization
| 2 | 456, 352, 984, 778, 553 |
| 2 | 228, 176, 492, 389, 553 |
| 2 | 114, 88, 246, 389, 553 |
| 3 | 57, 44, 123, 389, 553 |
| 19, 44, 41, 389, 553 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 44 x 41 x 389 x 553 = 176960407008
Therefore, the lowest common multiple of 456,352,984,778,553 is 176960407008.
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.
456 x 352 x 984 x 778 x 553 = 67952796291072
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
778 : 1, 2, 389, 778
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,352,984,778,553, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
352:2x 2x 2x 2x 2x 11
984:2x 2x 2x 3x 41
778:2x 389
553:7x 79
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 2x 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 67952796291072/(1x384)
LCM = 67952796291072/384
LCM = 176960407008
Thus, we can understand that the LCM of 456,352,984,778,553 is 176960407008.
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FAQs on LCM of 456, 352, 984, 778, 553
1. What is the LCM of 456, 352, 984, 778, 553?
Answer: LCM of 456, 352, 984, 778, 553 is 176960407008.
2. How to calculate the LCM of 456, 352, 984, 778, 553?
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 456, 352, 984, 778, 553.
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}.