LCM of 737, 402, 494, 572, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 402, 494, 572, 768 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 737, 402, 494, 572, 768. So, keep reading to learn more.
Given numbers are 737,402,494,572,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,402,494,572,768 is 139805952.
Find LCM of 737,402,494,572,768 with Prime Factorization
| 2 | 737, 402, 494, 572, 768 |
| 2 | 737, 201, 247, 286, 384 |
| 3 | 737, 201, 247, 143, 192 |
| 11 | 737, 67, 247, 143, 64 |
| 13 | 67, 67, 247, 13, 64 |
| 67 | 67, 67, 19, 1, 64 |
| 1, 1, 19, 1, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 67 x 1 x 1 x 19 x 1 x 64 = 139805952
Therefore, the lowest common multiple of 737,402,494,572,768 is 139805952.
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.
737 x 402 x 494 x 572 x 768 = 64295079653376
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.
737 : 1, 11, 67, 737
402 : 1, 2, 3, 6, 67, 134, 201, 402
494 : 1, 2, 13, 19, 26, 38, 247, 494
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,402,494,572,768, is 1.
Now, the common factors can be found like this.
737:11x 67
402:2x 3x 67
494:2x 13x 19
572:2x 2x 11x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 3x 11x 13x 67 = 459888
Therefore, the value for common factors is 459888.
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 = 64295079653376/(1x459888)
LCM = 64295079653376/459888
LCM = 139805952
Thus, we can understand that the LCM of 737,402,494,572,768 is 139805952.
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FAQs on LCM of 737, 402, 494, 572, 768
1. What is the LCM of 737, 402, 494, 572, 768?
Answer: LCM of 737, 402, 494, 572, 768 is 139805952.
2. How to calculate the LCM of 737, 402, 494, 572, 768?
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 737, 402, 494, 572, 768.
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}.