LCM of 924, 825, 869, 157, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 825, 869, 157, 620 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 924, 825, 869, 157, 620. So, keep reading to learn more.
Given numbers are 924,825,869,157,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,825,869,157,620 is 8881788300.
Find LCM of 924,825,869,157,620 with Prime Factorization
| 2 | 924, 825, 869, 157, 620 |
| 2 | 462, 825, 869, 157, 310 |
| 3 | 231, 825, 869, 157, 155 |
| 5 | 77, 275, 869, 157, 155 |
| 11 | 77, 55, 869, 157, 31 |
| 7, 5, 79, 157, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 7 x 5 x 79 x 157 x 31 = 8881788300
Therefore, the lowest common multiple of 924,825,869,157,620 is 8881788300.
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.
924 x 825 x 869 x 157 x 620 = 64481783058000
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
869 : 1, 11, 79, 869
157 : 1, 157
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,825,869,157,620, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
825:3x 5x 5x 11
869:11x 79
157:157
620:2x 2x 5x 31
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 5x 11x 11 = 7260
Therefore, the value for common factors is 7260.
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 = 64481783058000/(1x7260)
LCM = 64481783058000/7260
LCM = 8881788300
Thus, we can understand that the LCM of 924,825,869,157,620 is 8881788300.
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FAQs on LCM of 924, 825, 869, 157, 620
1. What is the LCM of 924, 825, 869, 157, 620?
Answer: LCM of 924, 825, 869, 157, 620 is 8881788300.
2. How to calculate the LCM of 924, 825, 869, 157, 620?
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 924, 825, 869, 157, 620.
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}.