Find the LCM of 152, 747, 291, 291, 937 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 152, 747, 291, 291, 937. So, keep reading to learn more.
Given numbers are 152,747,291,291,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,747,291,291,937 is 10319900616.
Find LCM of 152,747,291,291,937 with Prime Factorization
3 | 152, 747, 291, 291, 937 |
97 | 152, 249, 97, 97, 937 |
152, 249, 1, 1, 937 |
Multiply the prime numbers at the bottom and the left side.
3 x 97 x 152 x 249 x 1 x 1 x 937 = 10319900616
Therefore, the lowest common multiple of 152,747,291,291,937 is 10319900616.
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.
152 x 747 x 291 x 291 x 937 = 9009273237768
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
747 : 1, 3, 9, 83, 249, 747
291 : 1, 3, 97, 291
291 : 1, 3, 97, 291
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,747,291,291,937, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
747:3x 3x 83
291:3x 97
291:3x 97
937:937
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 97 = 873
Therefore, the value for common factors is 873.
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 = 9009273237768/(1x873)
LCM = 9009273237768/873
LCM = 10319900616
Thus, we can understand that the LCM of 152,747,291,291,937 is 10319900616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 747, 291, 291, 937?
Answer: LCM of 152, 747, 291, 291, 937 is 10319900616.
2. How to calculate the LCM of 152, 747, 291, 291, 937?
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 152, 747, 291, 291, 937.
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}.