LCM of 626, 492, 506, 591, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 492, 506, 591, 749 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 626, 492, 506, 591, 749. So, keep reading to learn more.
Given numbers are 626,492,506,591,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,492,506,591,749 is 5748810662364.
Find LCM of 626,492,506,591,749 with Prime Factorization
| 2 | 626, 492, 506, 591, 749 |
| 3 | 313, 246, 253, 591, 749 |
| 313, 82, 253, 197, 749 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 313 x 82 x 253 x 197 x 749 = 5748810662364
Therefore, the lowest common multiple of 626,492,506,591,749 is 5748810662364.
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.
626 x 492 x 506 x 591 x 749 = 68985727948368
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.
626 : 1, 2, 313, 626
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
506 : 1, 2, 11, 22, 23, 46, 253, 506
591 : 1, 3, 197, 591
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,492,506,591,749, is 1.
Now, the common factors can be found like this.
626:2x 313
492:2x 2x 3x 41
506:2x 11x 23
591:3x 197
749:7x 107
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 3 = 12
Therefore, the value for common factors is 12.
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 = 68985727948368/(1x12)
LCM = 68985727948368/12
LCM = 5748810662364
Thus, we can understand that the LCM of 626,492,506,591,749 is 5748810662364.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 626, 492, 506, 591, 749
1. What is the LCM of 626, 492, 506, 591, 749?
Answer: LCM of 626, 492, 506, 591, 749 is 5748810662364.
2. How to calculate the LCM of 626, 492, 506, 591, 749?
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 626, 492, 506, 591, 749.
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}.