LCM of 602, 724, 872, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 724, 872, 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 602, 724, 872, 420. So, keep reading to learn more.
Given numbers are 602,724,872,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,724,872,420 is 712611480.
Find LCM of 602,724,872,420 with Prime Factorization
| 2 | 602, 724, 872, 420 |
| 2 | 301, 362, 436, 210 |
| 7 | 301, 181, 218, 105 |
| 43, 181, 218, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 43 x 181 x 218 x 15 = 712611480
Therefore, the lowest common multiple of 602,724,872,420 is 712611480.
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 724 x 872 x 420 = 159624971520
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
724 : 1, 2, 4, 181, 362, 724
872 : 1, 2, 4, 8, 109, 218, 436, 872
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,724,872,420, is 2.
Now, the common factors can be found like this.
602:2x 7x 43
724:2x 2x 181
872:2x 2x 2x 109
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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 159624971520/(2x112)
LCM = 159624971520/224
LCM = 712611480
Thus, we can understand that the LCM of 602,724,872,420 is 712611480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 602, 724, 872, 420
1. What is the LCM of 602, 724, 872, 420?
Answer: LCM of 602, 724, 872, 420 is 712611480.
2. How to calculate the LCM of 602, 724, 872, 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 602, 724, 872, 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}.