LCM of 606, 206, 506, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 206, 506, 602 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 606, 206, 506, 602. So, keep reading to learn more.
Given numbers are 606,206,506,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,206,506,602 is 4753317954.
Find LCM of 606,206,506,602 with Prime Factorization
| 2 | 606, 206, 506, 602 |
| 303, 103, 253, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 303 x 103 x 253 x 301 = 4753317954
Therefore, the lowest common multiple of 606,206,506,602 is 4753317954.
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.
606 x 206 x 506 x 602 = 38026543632
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
206 : 1, 2, 103, 206
506 : 1, 2, 11, 22, 23, 46, 253, 506
602 : 1, 2, 7, 14, 43, 86, 301, 602
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,206,506,602, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
206:2x 103
506:2x 11x 23
602:2x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 38026543632/(2x4)
LCM = 38026543632/8
LCM = 4753317954
Thus, we can understand that the LCM of 606,206,506,602 is 4753317954.
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FAQs on LCM of 606, 206, 506, 602
1. What is the LCM of 606, 206, 506, 602?
Answer: LCM of 606, 206, 506, 602 is 4753317954.
2. How to calculate the LCM of 606, 206, 506, 602?
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 606, 206, 506, 602.
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}.