LCM of 749, 412, 355, 689, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 412, 355, 689, 420 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 749, 412, 355, 689, 420. So, keep reading to learn more.
Given numbers are 749,412,355,689,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,412,355,689,420 is 226437245580.
Find LCM of 749,412,355,689,420 with Prime Factorization
| 2 | 749, 412, 355, 689, 420 |
| 2 | 749, 206, 355, 689, 210 |
| 5 | 749, 103, 355, 689, 105 |
| 7 | 749, 103, 71, 689, 21 |
| 107, 103, 71, 689, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 107 x 103 x 71 x 689 x 3 = 226437245580
Therefore, the lowest common multiple of 749,412,355,689,420 is 226437245580.
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.
749 x 412 x 355 x 689 x 420 = 31701214381200
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.
749 : 1, 7, 107, 749
412 : 1, 2, 4, 103, 206, 412
355 : 1, 5, 71, 355
689 : 1, 13, 53, 689
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,412,355,689,420, is 1.
Now, the common factors can be found like this.
749:7x 107
412:2x 2x 103
355:5x 71
689:13x 53
420:2x 2x 3x 5x 7
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 31701214381200/(1x140)
LCM = 31701214381200/140
LCM = 226437245580
Thus, we can understand that the LCM of 749,412,355,689,420 is 226437245580.
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FAQs on LCM of 749, 412, 355, 689, 420
1. What is the LCM of 749, 412, 355, 689, 420?
Answer: LCM of 749, 412, 355, 689, 420 is 226437245580.
2. How to calculate the LCM of 749, 412, 355, 689, 420?
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 749, 412, 355, 689, 420.
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}.