Find the LCM of 451, 402, 598, 127, 924 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 451, 402, 598, 127, 924. So, keep reading to learn more.
Given numbers are 451,402,598,127,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,402,598,127,924 is 96384131844.
Find LCM of 451,402,598,127,924 with Prime Factorization
2 | 451, 402, 598, 127, 924 |
3 | 451, 201, 299, 127, 462 |
11 | 451, 67, 299, 127, 154 |
41, 67, 299, 127, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 67 x 299 x 127 x 14 = 96384131844
Therefore, the lowest common multiple of 451,402,598,127,924 is 96384131844.
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.
451 x 402 x 598 x 127 x 924 = 12722705403408
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.
451 : 1, 11, 41, 451
402 : 1, 2, 3, 6, 67, 134, 201, 402
598 : 1, 2, 13, 23, 26, 46, 299, 598
127 : 1, 127
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,402,598,127,924, is 1.
Now, the common factors can be found like this.
451:11x 41
402:2x 3x 67
598:2x 13x 23
127:127
924:2x 2x 3x 7x 11
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 11 = 132
Therefore, the value for common factors is 132.
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 = 12722705403408/(1x132)
LCM = 12722705403408/132
LCM = 96384131844
Thus, we can understand that the LCM of 451,402,598,127,924 is 96384131844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 451, 402, 598, 127, 924?
Answer: LCM of 451, 402, 598, 127, 924 is 96384131844.
2. How to calculate the LCM of 451, 402, 598, 127, 924?
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 451, 402, 598, 127, 924.
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}.