LCM of 971, 807, 828, 568, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 807, 828, 568, 148 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 971, 807, 828, 568, 148. So, keep reading to learn more.
Given numbers are 971,807,828,568,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,807,828,568,148 is 1136297144088.
Find LCM of 971,807,828,568,148 with Prime Factorization
| 2 | 971, 807, 828, 568, 148 |
| 2 | 971, 807, 414, 284, 74 |
| 3 | 971, 807, 207, 142, 37 |
| 971, 269, 69, 142, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 971 x 269 x 69 x 142 x 37 = 1136297144088
Therefore, the lowest common multiple of 971,807,828,568,148 is 1136297144088.
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.
971 x 807 x 828 x 568 x 148 = 54542262916224
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.
971 : 1, 971
807 : 1, 3, 269, 807
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
568 : 1, 2, 4, 8, 71, 142, 284, 568
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,807,828,568,148, is 1.
Now, the common factors can be found like this.
971:971
807:3x 269
828:2x 2x 3x 3x 23
568:2x 2x 2x 71
148:2x 2x 37
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 3 = 48
Therefore, the value for common factors is 48.
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 = 54542262916224/(1x48)
LCM = 54542262916224/48
LCM = 1136297144088
Thus, we can understand that the LCM of 971,807,828,568,148 is 1136297144088.
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FAQs on LCM of 971, 807, 828, 568, 148
1. What is the LCM of 971, 807, 828, 568, 148?
Answer: LCM of 971, 807, 828, 568, 148 is 1136297144088.
2. How to calculate the LCM of 971, 807, 828, 568, 148?
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 971, 807, 828, 568, 148.
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}.