LCM of 749, 501, 535, 527, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 501, 535, 527, 586 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 749, 501, 535, 527, 586. So, keep reading to learn more.
Given numbers are 749,501,535,527,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,501,535,527,586 is 579425733390.
Find LCM of 749,501,535,527,586 with Prime Factorization
| 107 | 749, 501, 535, 527, 586 |
| 7, 501, 5, 527, 586 |
Multiply the prime numbers at the bottom and the left side.
107 x 7 x 501 x 5 x 527 x 586 = 579425733390
Therefore, the lowest common multiple of 749,501,535,527,586 is 579425733390.
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.
749 x 501 x 535 x 527 x 586 = 61998553472730
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.
749 : 1, 7, 107, 749
501 : 1, 3, 167, 501
535 : 1, 5, 107, 535
527 : 1, 17, 31, 527
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,501,535,527,586, is 1.
Now, the common factors can be found like this.
749:7x 107
501:3x 167
535:5x 107
527:17x 31
586:2x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 61998553472730/(1x107)
LCM = 61998553472730/107
LCM = 579425733390
Thus, we can understand that the LCM of 749,501,535,527,586 is 579425733390.
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FAQs on LCM of 749, 501, 535, 527, 586
1. What is the LCM of 749, 501, 535, 527, 586?
Answer: LCM of 749, 501, 535, 527, 586 is 579425733390.
2. How to calculate the LCM of 749, 501, 535, 527, 586?
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 749, 501, 535, 527, 586.
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}.