LCM of 649, 423, 854, 759, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 423, 854, 759, 738 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 649, 423, 854, 759, 738. So, keep reading to learn more.
Given numbers are 649,423,854,759,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,423,854,759,738 is 221082632694.
Find LCM of 649,423,854,759,738 with Prime Factorization
| 2 | 649, 423, 854, 759, 738 |
| 3 | 649, 423, 427, 759, 369 |
| 3 | 649, 141, 427, 253, 123 |
| 11 | 649, 47, 427, 253, 41 |
| 59, 47, 427, 23, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 59 x 47 x 427 x 23 x 41 = 221082632694
Therefore, the lowest common multiple of 649,423,854,759,738 is 221082632694.
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.
649 x 423 x 854 x 759 x 738 = 131323083820236
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.
649 : 1, 11, 59, 649
423 : 1, 3, 9, 47, 141, 423
854 : 1, 2, 7, 14, 61, 122, 427, 854
759 : 1, 3, 11, 23, 33, 69, 253, 759
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,423,854,759,738, is 1.
Now, the common factors can be found like this.
649:11x 59
423:3x 3x 47
854:2x 7x 61
759:3x 11x 23
738:2x 3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 131323083820236/(1x594)
LCM = 131323083820236/594
LCM = 221082632694
Thus, we can understand that the LCM of 649,423,854,759,738 is 221082632694.
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FAQs on LCM of 649, 423, 854, 759, 738
1. What is the LCM of 649, 423, 854, 759, 738?
Answer: LCM of 649, 423, 854, 759, 738 is 221082632694.
2. How to calculate the LCM of 649, 423, 854, 759, 738?
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 649, 423, 854, 759, 738.
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}.