Find the LCM of 974, 602, 556, 448 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 974, 602, 556, 448. So, keep reading to learn more.
Given numbers are 974,602,556,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,602,556,448 is 1304037952.
Find LCM of 974,602,556,448 with Prime Factorization
2 | 974, 602, 556, 448 |
2 | 487, 301, 278, 224 |
7 | 487, 301, 139, 112 |
487, 43, 139, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 487 x 43 x 139 x 16 = 1304037952
Therefore, the lowest common multiple of 974,602,556,448 is 1304037952.
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.
974 x 602 x 556 x 448 = 146052250624
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.
974 : 1, 2, 487, 974
602 : 1, 2, 7, 14, 43, 86, 301, 602
556 : 1, 2, 4, 139, 278, 556
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,602,556,448, is 2.
Now, the common factors can be found like this.
974:2x 487
602:2x 7x 43
556:2x 2x 139
448:2x 2x 2x 2x 2x 2x 7
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 7 = 56
Therefore, the value for common factors is 56.
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 = 146052250624/(2x56)
LCM = 146052250624/112
LCM = 1304037952
Thus, we can understand that the LCM of 974,602,556,448 is 1304037952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 602, 556, 448?
Answer: LCM of 974, 602, 556, 448 is 1304037952.
2. How to calculate the LCM of 974, 602, 556, 448?
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 974, 602, 556, 448.
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}.