LCM of 939, 726, 506, 314, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 726, 506, 314, 803 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 939, 726, 506, 314, 803. So, keep reading to learn more.
Given numbers are 939,726,506,314,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,726,506,314,803 is 59900618514.
Find LCM of 939,726,506,314,803 with Prime Factorization
| 2 | 939, 726, 506, 314, 803 |
| 3 | 939, 363, 253, 157, 803 |
| 11 | 313, 121, 253, 157, 803 |
| 313, 11, 23, 157, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 313 x 11 x 23 x 157 x 73 = 59900618514
Therefore, the lowest common multiple of 939,726,506,314,803 is 59900618514.
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.
939 x 726 x 506 x 314 x 803 = 86975698082328
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.
939 : 1, 3, 313, 939
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
506 : 1, 2, 11, 22, 23, 46, 253, 506
314 : 1, 2, 157, 314
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,726,506,314,803, is 1.
Now, the common factors can be found like this.
939:3x 313
726:2x 3x 11x 11
506:2x 11x 23
314:2x 157
803:11x 73
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 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 86975698082328/(1x1452)
LCM = 86975698082328/1452
LCM = 59900618514
Thus, we can understand that the LCM of 939,726,506,314,803 is 59900618514.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 726, 506, 314, 803
1. What is the LCM of 939, 726, 506, 314, 803?
Answer: LCM of 939, 726, 506, 314, 803 is 59900618514.
2. How to calculate the LCM of 939, 726, 506, 314, 803?
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 939, 726, 506, 314, 803.
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}.