LCM of 757, 507, 663, 668, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 507, 663, 668, 596 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 757, 507, 663, 668, 596. So, keep reading to learn more.
Given numbers are 757,507,663,668,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,507,663,668,596 is 649404795156.
Find LCM of 757,507,663,668,596 with Prime Factorization
| 2 | 757, 507, 663, 668, 596 |
| 2 | 757, 507, 663, 334, 298 |
| 3 | 757, 507, 663, 167, 149 |
| 13 | 757, 169, 221, 167, 149 |
| 757, 13, 17, 167, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 757 x 13 x 17 x 167 x 149 = 649404795156
Therefore, the lowest common multiple of 757,507,663,668,596 is 649404795156.
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.
757 x 507 x 663 x 668 x 596 = 101307148044336
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.
757 : 1, 757
507 : 1, 3, 13, 39, 169, 507
663 : 1, 3, 13, 17, 39, 51, 221, 663
668 : 1, 2, 4, 167, 334, 668
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,507,663,668,596, is 1.
Now, the common factors can be found like this.
757:757
507:3x 13x 13
663:3x 13x 17
668:2x 2x 167
596:2x 2x 149
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 101307148044336/(1x156)
LCM = 101307148044336/156
LCM = 649404795156
Thus, we can understand that the LCM of 757,507,663,668,596 is 649404795156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 757, 507, 663, 668, 596
1. What is the LCM of 757, 507, 663, 668, 596?
Answer: LCM of 757, 507, 663, 668, 596 is 649404795156.
2. How to calculate the LCM of 757, 507, 663, 668, 596?
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 757, 507, 663, 668, 596.
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}.