LCM of 649, 202, 101, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 202, 101, 334 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 649, 202, 101, 334. So, keep reading to learn more.
Given numbers are 649,202,101,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,202,101,334 is 21893366.
Find LCM of 649,202,101,334 with Prime Factorization
| 2 | 649, 202, 101, 334 |
| 101 | 649, 101, 101, 167 |
| 649, 1, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 101 x 649 x 1 x 1 x 167 = 21893366
Therefore, the lowest common multiple of 649,202,101,334 is 21893366.
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.
649 x 202 x 101 x 334 = 4422459932
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.
649 : 1, 11, 59, 649
202 : 1, 2, 101, 202
101 : 1, 101
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,202,101,334, is 1.
Now, the common factors can be found like this.
649:11x 59
202:2x 101
101:101
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 101 = 202
Therefore, the value for common factors is 202.
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 = 4422459932/(1x202)
LCM = 4422459932/202
LCM = 21893366
Thus, we can understand that the LCM of 649,202,101,334 is 21893366.
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FAQs on LCM of 649, 202, 101, 334
1. What is the LCM of 649, 202, 101, 334?
Answer: LCM of 649, 202, 101, 334 is 21893366.
2. How to calculate the LCM of 649, 202, 101, 334?
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 649, 202, 101, 334.
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}.