LCM of 762, 423, 563, 559, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 423, 563, 559, 987 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 762, 423, 563, 559, 987. So, keep reading to learn more.
Given numbers are 762,423,563,559,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,423,563,559,987 is 236696767398.
Find LCM of 762,423,563,559,987 with Prime Factorization
| 3 | 762, 423, 563, 559, 987 |
| 47 | 254, 141, 563, 559, 329 |
| 254, 3, 563, 559, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 254 x 3 x 563 x 559 x 7 = 236696767398
Therefore, the lowest common multiple of 762,423,563,559,987 is 236696767398.
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.
762 x 423 x 563 x 559 x 987 = 100122732609354
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
423 : 1, 3, 9, 47, 141, 423
563 : 1, 563
559 : 1, 13, 43, 559
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,423,563,559,987, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
423:3x 3x 47
563:563
559:13x 43
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 47 = 423
Therefore, the value for common factors is 423.
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 = 100122732609354/(1x423)
LCM = 100122732609354/423
LCM = 236696767398
Thus, we can understand that the LCM of 762,423,563,559,987 is 236696767398.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 423, 563, 559, 987
1. What is the LCM of 762, 423, 563, 559, 987?
Answer: LCM of 762, 423, 563, 559, 987 is 236696767398.
2. How to calculate the LCM of 762, 423, 563, 559, 987?
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 762, 423, 563, 559, 987.
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}.