LCM of 642, 535, 961, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 535, 961, 345 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 642, 535, 961, 345. So, keep reading to learn more.
Given numbers are 642,535,961,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,535,961,345 is 70950630.
Find LCM of 642,535,961,345 with Prime Factorization
| 3 | 642, 535, 961, 345 |
| 5 | 214, 535, 961, 115 |
| 107 | 214, 107, 961, 23 |
| 2, 1, 961, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 107 x 2 x 1 x 961 x 23 = 70950630
Therefore, the lowest common multiple of 642,535,961,345 is 70950630.
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.
642 x 535 x 961 x 345 = 113875761150
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
535 : 1, 5, 107, 535
961 : 1, 31, 961
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,535,961,345, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
535:5x 107
961:31x 31
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 107 = 1605
Therefore, the value for common factors is 1605.
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 = 113875761150/(1x1605)
LCM = 113875761150/1605
LCM = 70950630
Thus, we can understand that the LCM of 642,535,961,345 is 70950630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 535, 961, 345
1. What is the LCM of 642, 535, 961, 345?
Answer: LCM of 642, 535, 961, 345 is 70950630.
2. How to calculate the LCM of 642, 535, 961, 345?
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 642, 535, 961, 345.
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}.