Find the LCM of 973, 345, 547, 552, 299 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 973, 345, 547, 552, 299. So, keep reading to learn more.
Given numbers are 973,345,547,552,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,345,547,552,299 is 19096448280.
Find LCM of 973,345,547,552,299 with Prime Factorization
3 | 973, 345, 547, 552, 299 |
23 | 973, 115, 547, 184, 299 |
973, 5, 547, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 973 x 5 x 547 x 8 x 13 = 19096448280
Therefore, the lowest common multiple of 973,345,547,552,299 is 19096448280.
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.
973 x 345 x 547 x 552 x 299 = 30306063420360
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.
973 : 1, 7, 139, 973
345 : 1, 3, 5, 15, 23, 69, 115, 345
547 : 1, 547
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,345,547,552,299, is 1.
Now, the common factors can be found like this.
973:7x 139
345:3x 5x 23
547:547
552:2x 2x 2x 3x 23
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 23 = 1587
Therefore, the value for common factors is 1587.
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 = 30306063420360/(1x1587)
LCM = 30306063420360/1587
LCM = 19096448280
Thus, we can understand that the LCM of 973,345,547,552,299 is 19096448280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 345, 547, 552, 299?
Answer: LCM of 973, 345, 547, 552, 299 is 19096448280.
2. How to calculate the LCM of 973, 345, 547, 552, 299?
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 973, 345, 547, 552, 299.
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}.