Find the LCM of 950, 399, 274, 314, 525 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 950, 399, 274, 314, 525. So, keep reading to learn more.
Given numbers are 950,399,274,314,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,399,274,314,525 is 429104550.
Find LCM of 950,399,274,314,525 with Prime Factorization
2 | 950, 399, 274, 314, 525 |
3 | 475, 399, 137, 157, 525 |
5 | 475, 133, 137, 157, 175 |
5 | 95, 133, 137, 157, 35 |
7 | 19, 133, 137, 157, 7 |
19 | 19, 19, 137, 157, 1 |
1, 1, 137, 157, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 19 x 1 x 1 x 137 x 157 x 1 = 429104550
Therefore, the lowest common multiple of 950,399,274,314,525 is 429104550.
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.
950 x 399 x 274 x 314 x 525 = 17121271545000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
399 : 1, 3, 7, 19, 21, 57, 133, 399
274 : 1, 2, 137, 274
314 : 1, 2, 157, 314
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,399,274,314,525, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
399:3x 7x 19
274:2x 137
314:2x 157
525:3x 5x 5x 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 3x 5x 5x 7x 19 = 39900
Therefore, the value for common factors is 39900.
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 = 17121271545000/(1x39900)
LCM = 17121271545000/39900
LCM = 429104550
Thus, we can understand that the LCM of 950,399,274,314,525 is 429104550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 950, 399, 274, 314, 525?
Answer: LCM of 950, 399, 274, 314, 525 is 429104550.
2. How to calculate the LCM of 950, 399, 274, 314, 525?
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 950, 399, 274, 314, 525.
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}.