LCM of 249, 314, 501, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 249, 314, 501, 664 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 249, 314, 501, 664. So, keep reading to learn more.
Given numbers are 249,314,501,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,314,501,664 is 52228248.
Find LCM of 249,314,501,664 with Prime Factorization
| 2 | 249, 314, 501, 664 |
| 3 | 249, 157, 501, 332 |
| 83 | 83, 157, 167, 332 |
| 1, 157, 167, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 1 x 157 x 167 x 4 = 52228248
Therefore, the lowest common multiple of 249,314,501,664 is 52228248.
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.
249 x 314 x 501 x 664 = 26009667504
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.
249 : 1, 3, 83, 249
314 : 1, 2, 157, 314
501 : 1, 3, 167, 501
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,314,501,664, is 1.
Now, the common factors can be found like this.
249:3x 83
314:2x 157
501:3x 167
664:2x 2x 2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 83 = 498
Therefore, the value for common factors is 498.
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 = 26009667504/(1x498)
LCM = 26009667504/498
LCM = 52228248
Thus, we can understand that the LCM of 249,314,501,664 is 52228248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 249, 314, 501, 664
1. What is the LCM of 249, 314, 501, 664?
Answer: LCM of 249, 314, 501, 664 is 52228248.
2. How to calculate the LCM of 249, 314, 501, 664?
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 249, 314, 501, 664.
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}.