Find the LCM of 971, 407, 432, 771, 402 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 971, 407, 432, 771, 402. So, keep reading to learn more.
Given numbers are 971,407,432,771,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,407,432,771,402 is 2939715565776.
Find LCM of 971,407,432,771,402 with Prime Factorization
2 | 971, 407, 432, 771, 402 |
3 | 971, 407, 216, 771, 201 |
971, 407, 72, 257, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 971 x 407 x 72 x 257 x 67 = 2939715565776
Therefore, the lowest common multiple of 971,407,432,771,402 is 2939715565776.
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.
971 x 407 x 432 x 771 x 402 = 52914880183968
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.
971 : 1, 971
407 : 1, 11, 37, 407
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
771 : 1, 3, 257, 771
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,407,432,771,402, is 1.
Now, the common factors can be found like this.
971:971
407:11x 37
432:2x 2x 2x 2x 3x 3x 3
771:3x 257
402:2x 3x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 52914880183968/(1x18)
LCM = 52914880183968/18
LCM = 2939715565776
Thus, we can understand that the LCM of 971,407,432,771,402 is 2939715565776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 407, 432, 771, 402?
Answer: LCM of 971, 407, 432, 771, 402 is 2939715565776.
2. How to calculate the LCM of 971, 407, 432, 771, 402?
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 971, 407, 432, 771, 402.
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}.