Find the LCM of 763, 598, 299, 387 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 763, 598, 299, 387. So, keep reading to learn more.
Given numbers are 763,598,299,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,598,299,387 is 176578038.
Find LCM of 763,598,299,387 with Prime Factorization
13 | 763, 598, 299, 387 |
23 | 763, 46, 23, 387 |
763, 2, 1, 387 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 763 x 2 x 1 x 387 = 176578038
Therefore, the lowest common multiple of 763,598,299,387 is 176578038.
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.
763 x 598 x 299 x 387 = 52796833362
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.
763 : 1, 7, 109, 763
598 : 1, 2, 13, 23, 26, 46, 299, 598
299 : 1, 13, 23, 299
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,598,299,387, is 1.
Now, the common factors can be found like this.
763:7x 109
598:2x 13x 23
299:13x 23
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 52796833362/(1x299)
LCM = 52796833362/299
LCM = 176578038
Thus, we can understand that the LCM of 763,598,299,387 is 176578038.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 598, 299, 387?
Answer: LCM of 763, 598, 299, 387 is 176578038.
2. How to calculate the LCM of 763, 598, 299, 387?
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 763, 598, 299, 387.
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}.