LCM of 575, 836, 266, 535, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 836, 266, 535, 607 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 575, 836, 266, 535, 607. So, keep reading to learn more.
Given numbers are 575,836,266,535,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,836,266,535,607 is 218546890100.
Find LCM of 575,836,266,535,607 with Prime Factorization
| 2 | 575, 836, 266, 535, 607 |
| 5 | 575, 418, 133, 535, 607 |
| 19 | 115, 418, 133, 107, 607 |
| 115, 22, 7, 107, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 115 x 22 x 7 x 107 x 607 = 218546890100
Therefore, the lowest common multiple of 575,836,266,535,607 is 218546890100.
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.
575 x 836 x 266 x 535 x 607 = 41523909119000
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.
575 : 1, 5, 23, 25, 115, 575
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
266 : 1, 2, 7, 14, 19, 38, 133, 266
535 : 1, 5, 107, 535
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,836,266,535,607, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
836:2x 2x 11x 19
266:2x 7x 19
535:5x 107
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 41523909119000/(1x190)
LCM = 41523909119000/190
LCM = 218546890100
Thus, we can understand that the LCM of 575,836,266,535,607 is 218546890100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 575, 836, 266, 535, 607
1. What is the LCM of 575, 836, 266, 535, 607?
Answer: LCM of 575, 836, 266, 535, 607 is 218546890100.
2. How to calculate the LCM of 575, 836, 266, 535, 607?
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 575, 836, 266, 535, 607.
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}.