LCM of 152, 931, 414, 971, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 931, 414, 971, 805 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 152, 931, 414, 971, 805. So, keep reading to learn more.
Given numbers are 152,931,414,971,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,931,414,971,805 is 7485128280.
Find LCM of 152,931,414,971,805 with Prime Factorization
| 2 | 152, 931, 414, 971, 805 |
| 7 | 76, 931, 207, 971, 805 |
| 19 | 76, 133, 207, 971, 115 |
| 23 | 4, 7, 207, 971, 115 |
| 4, 7, 9, 971, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 23 x 4 x 7 x 9 x 971 x 5 = 7485128280
Therefore, the lowest common multiple of 152,931,414,971,805 is 7485128280.
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.
152 x 931 x 414 x 971 x 805 = 45794014817040
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
931 : 1, 7, 19, 49, 133, 931
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
971 : 1, 971
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,931,414,971,805, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
931:7x 7x 19
414:2x 3x 3x 23
971:971
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19x 23 = 6118
Therefore, the value for common factors is 6118.
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 = 45794014817040/(1x6118)
LCM = 45794014817040/6118
LCM = 7485128280
Thus, we can understand that the LCM of 152,931,414,971,805 is 7485128280.
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FAQs on LCM of 152, 931, 414, 971, 805
1. What is the LCM of 152, 931, 414, 971, 805?
Answer: LCM of 152, 931, 414, 971, 805 is 7485128280.
2. How to calculate the LCM of 152, 931, 414, 971, 805?
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 152, 931, 414, 971, 805.
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}.