Find the LCM of 752, 697, 533, 369, 761 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 752, 697, 533, 369, 761. So, keep reading to learn more.
Given numbers are 752,697,533,369,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,697,533,369,761 is 46668209328.
Find LCM of 752,697,533,369,761 with Prime Factorization
41 | 752, 697, 533, 369, 761 |
752, 17, 13, 9, 761 |
Multiply the prime numbers at the bottom and the left side.
41 x 752 x 17 x 13 x 9 x 761 = 46668209328
Therefore, the lowest common multiple of 752,697,533,369,761 is 46668209328.
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.
752 x 697 x 533 x 369 x 761 = 78449259880368
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
697 : 1, 17, 41, 697
533 : 1, 13, 41, 533
369 : 1, 3, 9, 41, 123, 369
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,697,533,369,761, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
697:17x 41
533:13x 41
369:3x 3x 41
761:761
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41x 41 = 1681
Therefore, the value for common factors is 1681.
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 = 78449259880368/(1x1681)
LCM = 78449259880368/1681
LCM = 46668209328
Thus, we can understand that the LCM of 752,697,533,369,761 is 46668209328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 752, 697, 533, 369, 761?
Answer: LCM of 752, 697, 533, 369, 761 is 46668209328.
2. How to calculate the LCM of 752, 697, 533, 369, 761?
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 752, 697, 533, 369, 761.
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}.