LCM of 910, 652, 728, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 652, 728, 202 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 910, 652, 728, 202. So, keep reading to learn more.
Given numbers are 910,652,728,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,652,728,202 is 59925320.
Find LCM of 910,652,728,202 with Prime Factorization
| 2 | 910, 652, 728, 202 |
| 2 | 455, 326, 364, 101 |
| 7 | 455, 163, 182, 101 |
| 13 | 65, 163, 26, 101 |
| 5, 163, 2, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 5 x 163 x 2 x 101 = 59925320
Therefore, the lowest common multiple of 910,652,728,202 is 59925320.
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.
910 x 652 x 728 x 202 = 87251265920
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
652 : 1, 2, 4, 163, 326, 652
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
202 : 1, 2, 101, 202
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,652,728,202, is 2.
Now, the common factors can be found like this.
910:2x 5x 7x 13
652:2x 2x 163
728:2x 2x 2x 7x 13
202:2x 101
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 13 = 728
Therefore, the value for common factors is 728.
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 = 87251265920/(2x728)
LCM = 87251265920/1456
LCM = 59925320
Thus, we can understand that the LCM of 910,652,728,202 is 59925320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 910, 652, 728, 202
1. What is the LCM of 910, 652, 728, 202?
Answer: LCM of 910, 652, 728, 202 is 59925320.
2. How to calculate the LCM of 910, 652, 728, 202?
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 910, 652, 728, 202.
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}.