Find the LCM of 229, 334, 345, 971, 420 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 229, 334, 345, 971, 420. So, keep reading to learn more.
Given numbers are 229,334,345,971,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,334,345,971,420 is 358713985980.
Find LCM of 229,334,345,971,420 with Prime Factorization
2 | 229, 334, 345, 971, 420 |
3 | 229, 167, 345, 971, 210 |
5 | 229, 167, 115, 971, 70 |
229, 167, 23, 971, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 229 x 167 x 23 x 971 x 14 = 358713985980
Therefore, the lowest common multiple of 229,334,345,971,420 is 358713985980.
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.
229 x 334 x 345 x 971 x 420 = 10761419579400
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.
229 : 1, 229
334 : 1, 2, 167, 334
345 : 1, 3, 5, 15, 23, 69, 115, 345
971 : 1, 971
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,334,345,971,420, is 1.
Now, the common factors can be found like this.
229:229
334:2x 167
345:3x 5x 23
971:971
420:2x 2x 3x 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 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 10761419579400/(1x30)
LCM = 10761419579400/30
LCM = 358713985980
Thus, we can understand that the LCM of 229,334,345,971,420 is 358713985980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 334, 345, 971, 420?
Answer: LCM of 229, 334, 345, 971, 420 is 358713985980.
2. How to calculate the LCM of 229, 334, 345, 971, 420?
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 229, 334, 345, 971, 420.
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}.