LCM of 602, 374, 714, 724, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 374, 714, 724, 905 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 602, 374, 714, 724, 905. So, keep reading to learn more.
Given numbers are 602,374,714,724,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,374,714,724,905 is 611276820.
Find LCM of 602,374,714,724,905 with Prime Factorization
| 2 | 602, 374, 714, 724, 905 |
| 7 | 301, 187, 357, 362, 905 |
| 17 | 43, 187, 51, 362, 905 |
| 181 | 43, 11, 3, 362, 905 |
| 43, 11, 3, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 181 x 43 x 11 x 3 x 2 x 5 = 611276820
Therefore, the lowest common multiple of 602,374,714,724,905 is 611276820.
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.
602 x 374 x 714 x 724 x 905 = 105330331407840
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
374 : 1, 2, 11, 17, 22, 34, 187, 374
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
724 : 1, 2, 4, 181, 362, 724
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,374,714,724,905, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
374:2x 11x 17
714:2x 3x 7x 17
724:2x 2x 181
905:5x 181
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 7x 17x 181 = 172312
Therefore, the value for common factors is 172312.
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 = 105330331407840/(1x172312)
LCM = 105330331407840/172312
LCM = 611276820
Thus, we can understand that the LCM of 602,374,714,724,905 is 611276820.
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FAQs on LCM of 602, 374, 714, 724, 905
1. What is the LCM of 602, 374, 714, 724, 905?
Answer: LCM of 602, 374, 714, 724, 905 is 611276820.
2. How to calculate the LCM of 602, 374, 714, 724, 905?
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 602, 374, 714, 724, 905.
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}.