Find the LCM of 572, 654, 763, 918, 877 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 572, 654, 763, 918, 877. So, keep reading to learn more.
Given numbers are 572,654,763,918,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,654,763,918,877 is 175684256748.
Find LCM of 572,654,763,918,877 with Prime Factorization
2 | 572, 654, 763, 918, 877 |
3 | 286, 327, 763, 459, 877 |
109 | 286, 109, 763, 153, 877 |
286, 1, 7, 153, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 286 x 1 x 7 x 153 x 877 = 175684256748
Therefore, the lowest common multiple of 572,654,763,918,877 is 175684256748.
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.
572 x 654 x 763 x 918 x 877 = 229795007826384
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
654 : 1, 2, 3, 6, 109, 218, 327, 654
763 : 1, 7, 109, 763
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,654,763,918,877, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
654:2x 3x 109
763:7x 109
918:2x 3x 3x 3x 17
877:877
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 3x 109 = 1308
Therefore, the value for common factors is 1308.
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 = 229795007826384/(1x1308)
LCM = 229795007826384/1308
LCM = 175684256748
Thus, we can understand that the LCM of 572,654,763,918,877 is 175684256748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 654, 763, 918, 877?
Answer: LCM of 572, 654, 763, 918, 877 is 175684256748.
2. How to calculate the LCM of 572, 654, 763, 918, 877?
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 572, 654, 763, 918, 877.
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}.