LCM of 630, 533, 922, 536, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 533, 922, 536, 507 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 630, 533, 922, 536, 507. So, keep reading to learn more.
Given numbers are 630,533,922,536,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,533,922,536,507 is 539320377960.
Find LCM of 630,533,922,536,507 with Prime Factorization
| 2 | 630, 533, 922, 536, 507 |
| 3 | 315, 533, 461, 268, 507 |
| 13 | 105, 533, 461, 268, 169 |
| 105, 41, 461, 268, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 105 x 41 x 461 x 268 x 13 = 539320377960
Therefore, the lowest common multiple of 630,533,922,536,507 is 539320377960.
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.
630 x 533 x 922 x 536 x 507 = 84133978961760
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
533 : 1, 13, 41, 533
922 : 1, 2, 461, 922
536 : 1, 2, 4, 8, 67, 134, 268, 536
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,533,922,536,507, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
533:13x 41
922:2x 461
536:2x 2x 2x 67
507:3x 13x 13
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 84133978961760/(1x156)
LCM = 84133978961760/156
LCM = 539320377960
Thus, we can understand that the LCM of 630,533,922,536,507 is 539320377960.
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FAQs on LCM of 630, 533, 922, 536, 507
1. What is the LCM of 630, 533, 922, 536, 507?
Answer: LCM of 630, 533, 922, 536, 507 is 539320377960.
2. How to calculate the LCM of 630, 533, 922, 536, 507?
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 630, 533, 922, 536, 507.
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}.