Find the LCM of 980, 364, 402, 953, 520 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 980, 364, 402, 953, 520. So, keep reading to learn more.
Given numbers are 980,364,402,953,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,364,402,953,520 is 4880770440.
Find LCM of 980,364,402,953,520 with Prime Factorization
2 | 980, 364, 402, 953, 520 |
2 | 490, 182, 201, 953, 260 |
5 | 245, 91, 201, 953, 130 |
7 | 49, 91, 201, 953, 26 |
13 | 7, 13, 201, 953, 26 |
7, 1, 201, 953, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 7 x 1 x 201 x 953 x 2 = 4880770440
Therefore, the lowest common multiple of 980,364,402,953,520 is 4880770440.
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.
980 x 364 x 402 x 953 x 520 = 71064017606400
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
402 : 1, 2, 3, 6, 67, 134, 201, 402
953 : 1, 953
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,364,402,953,520, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
364:2x 2x 7x 13
402:2x 3x 67
953:953
520:2x 2x 2x 5x 13
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 2x 2x 5x 7x 13 = 14560
Therefore, the value for common factors is 14560.
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 = 71064017606400/(1x14560)
LCM = 71064017606400/14560
LCM = 4880770440
Thus, we can understand that the LCM of 980,364,402,953,520 is 4880770440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 980, 364, 402, 953, 520?
Answer: LCM of 980, 364, 402, 953, 520 is 4880770440.
2. How to calculate the LCM of 980, 364, 402, 953, 520?
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 980, 364, 402, 953, 520.
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}.