LCM of 972, 971, 430, 301, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 971, 430, 301, 104 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 972, 971, 430, 301, 104. So, keep reading to learn more.
Given numbers are 972,971,430,301,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,971,430,301,104 is 36931363560.
Find LCM of 972,971,430,301,104 with Prime Factorization
| 2 | 972, 971, 430, 301, 104 |
| 2 | 486, 971, 215, 301, 52 |
| 43 | 243, 971, 215, 301, 26 |
| 243, 971, 5, 7, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 243 x 971 x 5 x 7 x 26 = 36931363560
Therefore, the lowest common multiple of 972,971,430,301,104 is 36931363560.
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.
972 x 971 x 430 x 301 x 104 = 12704389064640
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
971 : 1, 971
430 : 1, 2, 5, 10, 43, 86, 215, 430
301 : 1, 7, 43, 301
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,971,430,301,104, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
971:971
430:2x 5x 43
301:7x 43
104:2x 2x 2x 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 43 = 344
Therefore, the value for common factors is 344.
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 = 12704389064640/(1x344)
LCM = 12704389064640/344
LCM = 36931363560
Thus, we can understand that the LCM of 972,971,430,301,104 is 36931363560.
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FAQs on LCM of 972, 971, 430, 301, 104
1. What is the LCM of 972, 971, 430, 301, 104?
Answer: LCM of 972, 971, 430, 301, 104 is 36931363560.
2. How to calculate the LCM of 972, 971, 430, 301, 104?
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 972, 971, 430, 301, 104.
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}.