LCM of 528, 495, 870, 297, 233
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 495, 870, 297, 233 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 528, 495, 870, 297, 233. So, keep reading to learn more.
Given numbers are 528,495,870,297,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,495,870,297,233 is 160546320.
Find LCM of 528,495,870,297,233 with Prime Factorization
| 2 | 528, 495, 870, 297, 233 |
| 3 | 264, 495, 435, 297, 233 |
| 3 | 88, 165, 145, 99, 233 |
| 5 | 88, 55, 145, 33, 233 |
| 11 | 88, 11, 29, 33, 233 |
| 8, 1, 29, 3, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 8 x 1 x 29 x 3 x 233 = 160546320
Therefore, the lowest common multiple of 528,495,870,297,233 is 160546320.
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.
528 x 495 x 870 x 297 x 233 = 15735144823200
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
297 : 1, 3, 9, 11, 27, 33, 99, 297
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,495,870,297,233, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
495:3x 3x 5x 11
870:2x 3x 5x 29
297:3x 3x 3x 11
233:233
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 3x 3x 5x 11x 11 = 98010
Therefore, the value for common factors is 98010.
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 = 15735144823200/(1x98010)
LCM = 15735144823200/98010
LCM = 160546320
Thus, we can understand that the LCM of 528,495,870,297,233 is 160546320.
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FAQs on LCM of 528, 495, 870, 297, 233
1. What is the LCM of 528, 495, 870, 297, 233?
Answer: LCM of 528, 495, 870, 297, 233 is 160546320.
2. How to calculate the LCM of 528, 495, 870, 297, 233?
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 528, 495, 870, 297, 233.
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}.