LCM of 152, 880, 572, 984, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 880, 572, 984, 677 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 152, 880, 572, 984, 677. So, keep reading to learn more.
Given numbers are 152,880,572,984,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,880,572,984,677 is 18099784560.
Find LCM of 152,880,572,984,677 with Prime Factorization
| 2 | 152, 880, 572, 984, 677 |
| 2 | 76, 440, 286, 492, 677 |
| 2 | 38, 220, 143, 246, 677 |
| 11 | 19, 110, 143, 123, 677 |
| 19, 10, 13, 123, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 19 x 10 x 13 x 123 x 677 = 18099784560
Therefore, the lowest common multiple of 152,880,572,984,677 is 18099784560.
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.
152 x 880 x 572 x 984 x 677 = 50968993320960
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,880,572,984,677, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
880:2x 2x 2x 2x 5x 11
572:2x 2x 11x 13
984:2x 2x 2x 3x 41
677:677
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 2x 11 = 2816
Therefore, the value for common factors is 2816.
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 = 50968993320960/(1x2816)
LCM = 50968993320960/2816
LCM = 18099784560
Thus, we can understand that the LCM of 152,880,572,984,677 is 18099784560.
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FAQs on LCM of 152, 880, 572, 984, 677
1. What is the LCM of 152, 880, 572, 984, 677?
Answer: LCM of 152, 880, 572, 984, 677 is 18099784560.
2. How to calculate the LCM of 152, 880, 572, 984, 677?
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 152, 880, 572, 984, 677.
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}.