Find the LCM of 974, 483, 487, 402, 268 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, 483, 487, 402, 268. So, keep reading to learn more.
Given numbers are 974,483,487,402,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,483,487,402,268 is 63039228.
Find LCM of 974,483,487,402,268 with Prime Factorization
2 | 974, 483, 487, 402, 268 |
3 | 487, 483, 487, 201, 134 |
67 | 487, 161, 487, 67, 134 |
487 | 487, 161, 487, 1, 2 |
1, 161, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 487 x 1 x 161 x 1 x 1 x 2 = 63039228
Therefore, the lowest common multiple of 974,483,487,402,268 is 63039228.
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 483 x 487 x 402 x 268 = 24682883644944
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
483 : 1, 3, 7, 21, 23, 69, 161, 483
487 : 1, 487
402 : 1, 2, 3, 6, 67, 134, 201, 402
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,483,487,402,268, is 1.
Now, the common factors can be found like this.
974:2x 487
483:3x 7x 23
487:487
402:2x 3x 67
268:2x 2x 67
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 67x 487 = 391548
Therefore, the value for common factors is 391548.
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 = 24682883644944/(1x391548)
LCM = 24682883644944/391548
LCM = 63039228
Thus, we can understand that the LCM of 974,483,487,402,268 is 63039228.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 483, 487, 402, 268?
Answer: LCM of 974, 483, 487, 402, 268 is 63039228.
2. How to calculate the LCM of 974, 483, 487, 402, 268?
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, 483, 487, 402, 268.
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}.