Find the LCM of 767, 374, 572, 492 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 767, 374, 572, 492. So, keep reading to learn more.
Given numbers are 767,374,572,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,374,572,492 is 70567068.
Find LCM of 767,374,572,492 with Prime Factorization
2 | 767, 374, 572, 492 |
2 | 767, 187, 286, 246 |
11 | 767, 187, 143, 123 |
13 | 767, 17, 13, 123 |
59, 17, 1, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 59 x 17 x 1 x 123 = 70567068
Therefore, the lowest common multiple of 767,374,572,492 is 70567068.
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.
767 x 374 x 572 x 492 = 80728725792
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.
767 : 1, 13, 59, 767
374 : 1, 2, 11, 17, 22, 34, 187, 374
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,374,572,492, is 1.
Now, the common factors can be found like this.
767:13x 59
374:2x 11x 17
572:2x 2x 11x 13
492:2x 2x 3x 41
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 80728725792/(1x1144)
LCM = 80728725792/1144
LCM = 70567068
Thus, we can understand that the LCM of 767,374,572,492 is 70567068.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 374, 572, 492?
Answer: LCM of 767, 374, 572, 492 is 70567068.
2. How to calculate the LCM of 767, 374, 572, 492?
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 767, 374, 572, 492.
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}.