LCM of 437, 506, 690, 689, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 506, 690, 689, 240 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 437, 506, 690, 689, 240. So, keep reading to learn more.
Given numbers are 437,506,690,689,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,506,690,689,240 is 794885520.
Find LCM of 437,506,690,689,240 with Prime Factorization
| 2 | 437, 506, 690, 689, 240 |
| 3 | 437, 253, 345, 689, 120 |
| 5 | 437, 253, 115, 689, 40 |
| 23 | 437, 253, 23, 689, 8 |
| 19, 11, 1, 689, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 19 x 11 x 1 x 689 x 8 = 794885520
Therefore, the lowest common multiple of 437,506,690,689,240 is 794885520.
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.
437 x 506 x 690 x 689 x 240 = 25229666404800
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.
437 : 1, 19, 23, 437
506 : 1, 2, 11, 22, 23, 46, 253, 506
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
689 : 1, 13, 53, 689
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,506,690,689,240, is 1.
Now, the common factors can be found like this.
437:19x 23
506:2x 11x 23
690:2x 3x 5x 23
689:13x 53
240:2x 2x 2x 2x 3x 5
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 5x 23x 23 = 31740
Therefore, the value for common factors is 31740.
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 = 25229666404800/(1x31740)
LCM = 25229666404800/31740
LCM = 794885520
Thus, we can understand that the LCM of 437,506,690,689,240 is 794885520.
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FAQs on LCM of 437, 506, 690, 689, 240
1. What is the LCM of 437, 506, 690, 689, 240?
Answer: LCM of 437, 506, 690, 689, 240 is 794885520.
2. How to calculate the LCM of 437, 506, 690, 689, 240?
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 437, 506, 690, 689, 240.
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}.