LCM of 624, 559, 798, 147, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 559, 798, 147, 788 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 624, 559, 798, 147, 788. So, keep reading to learn more.
Given numbers are 624,559,798,147,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,559,798,147,788 is 4921176624.
Find LCM of 624,559,798,147,788 with Prime Factorization
| 2 | 624, 559, 798, 147, 788 |
| 2 | 312, 559, 399, 147, 394 |
| 3 | 156, 559, 399, 147, 197 |
| 7 | 52, 559, 133, 49, 197 |
| 13 | 52, 559, 19, 7, 197 |
| 4, 43, 19, 7, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 4 x 43 x 19 x 7 x 197 = 4921176624
Therefore, the lowest common multiple of 624,559,798,147,788 is 4921176624.
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.
624 x 559 x 798 x 147 x 788 = 32243549240448
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
559 : 1, 13, 43, 559
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
147 : 1, 3, 7, 21, 49, 147
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,559,798,147,788, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
559:13x 43
798:2x 3x 7x 19
147:3x 7x 7
788:2x 2x 197
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 3x 3x 7x 13 = 6552
Therefore, the value for common factors is 6552.
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 = 32243549240448/(1x6552)
LCM = 32243549240448/6552
LCM = 4921176624
Thus, we can understand that the LCM of 624,559,798,147,788 is 4921176624.
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FAQs on LCM of 624, 559, 798, 147, 788
1. What is the LCM of 624, 559, 798, 147, 788?
Answer: LCM of 624, 559, 798, 147, 788 is 4921176624.
2. How to calculate the LCM of 624, 559, 798, 147, 788?
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 624, 559, 798, 147, 788.
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}.