LCM of 948, 107, 535, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 107, 535, 891 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 948, 107, 535, 891. So, keep reading to learn more.
Given numbers are 948,107,535,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,107,535,891 is 150632460.
Find LCM of 948,107,535,891 with Prime Factorization
| 3 | 948, 107, 535, 891 |
| 107 | 316, 107, 535, 297 |
| 316, 1, 5, 297 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 316 x 1 x 5 x 297 = 150632460
Therefore, the lowest common multiple of 948,107,535,891 is 150632460.
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.
948 x 107 x 535 x 891 = 48353019660
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
107 : 1, 107
535 : 1, 5, 107, 535
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,107,535,891, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
107:107
535:5x 107
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 107 = 321
Therefore, the value for common factors is 321.
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 = 48353019660/(1x321)
LCM = 48353019660/321
LCM = 150632460
Thus, we can understand that the LCM of 948,107,535,891 is 150632460.
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FAQs on LCM of 948, 107, 535, 891
1. What is the LCM of 948, 107, 535, 891?
Answer: LCM of 948, 107, 535, 891 is 150632460.
2. How to calculate the LCM of 948, 107, 535, 891?
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 948, 107, 535, 891.
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}.