LCM of 738, 220, 706, 824, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 220, 706, 824, 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 738, 220, 706, 824, 507. So, keep reading to learn more.
Given numbers are 738,220,706,824,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,220,706,824,507 is 997648783560.
Find LCM of 738,220,706,824,507 with Prime Factorization
| 2 | 738, 220, 706, 824, 507 |
| 2 | 369, 110, 353, 412, 507 |
| 3 | 369, 55, 353, 206, 507 |
| 123, 55, 353, 206, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 123 x 55 x 353 x 206 x 169 = 997648783560
Therefore, the lowest common multiple of 738,220,706,824,507 is 997648783560.
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.
738 x 220 x 706 x 824 x 507 = 47887141610880
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
706 : 1, 2, 353, 706
824 : 1, 2, 4, 8, 103, 206, 412, 824
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 738,220,706,824,507, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
220:2x 2x 5x 11
706:2x 353
824:2x 2x 2x 103
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 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 47887141610880/(1x48)
LCM = 47887141610880/48
LCM = 997648783560
Thus, we can understand that the LCM of 738,220,706,824,507 is 997648783560.
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FAQs on LCM of 738, 220, 706, 824, 507
1. What is the LCM of 738, 220, 706, 824, 507?
Answer: LCM of 738, 220, 706, 824, 507 is 997648783560.
2. How to calculate the LCM of 738, 220, 706, 824, 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 738, 220, 706, 824, 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}.