LCM of 842, 451, 968, 372, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 451, 968, 372, 653 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 842, 451, 968, 372, 653. So, keep reading to learn more.
Given numbers are 842,451,968,372,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,451,968,372,653 is 1014699484392.
Find LCM of 842,451,968,372,653 with Prime Factorization
| 2 | 842, 451, 968, 372, 653 |
| 2 | 421, 451, 484, 186, 653 |
| 11 | 421, 451, 242, 93, 653 |
| 421, 41, 22, 93, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 421 x 41 x 22 x 93 x 653 = 1014699484392
Therefore, the lowest common multiple of 842,451,968,372,653 is 1014699484392.
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.
842 x 451 x 968 x 372 x 653 = 89293554626496
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.
842 : 1, 2, 421, 842
451 : 1, 11, 41, 451
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,451,968,372,653, is 1.
Now, the common factors can be found like this.
842:2x 421
451:11x 41
968:2x 2x 2x 11x 11
372:2x 2x 3x 31
653:653
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 11 = 88
Therefore, the value for common factors is 88.
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 = 89293554626496/(1x88)
LCM = 89293554626496/88
LCM = 1014699484392
Thus, we can understand that the LCM of 842,451,968,372,653 is 1014699484392.
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FAQs on LCM of 842, 451, 968, 372, 653
1. What is the LCM of 842, 451, 968, 372, 653?
Answer: LCM of 842, 451, 968, 372, 653 is 1014699484392.
2. How to calculate the LCM of 842, 451, 968, 372, 653?
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 842, 451, 968, 372, 653.
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}.