LCM of 724, 535, 336, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 535, 336, 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 724, 535, 336, 749. So, keep reading to learn more.
Given numbers are 724,535,336,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,535,336,749 is 32536560.
Find LCM of 724,535,336,749 with Prime Factorization
| 2 | 724, 535, 336, 749 |
| 2 | 362, 535, 168, 749 |
| 7 | 181, 535, 84, 749 |
| 107 | 181, 535, 12, 107 |
| 181, 5, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 107 x 181 x 5 x 12 x 1 = 32536560
Therefore, the lowest common multiple of 724,535,336,749 is 32536560.
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.
724 x 535 x 336 x 749 = 97479533760
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.
724 : 1, 2, 4, 181, 362, 724
535 : 1, 5, 107, 535
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,535,336,749, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
535:5x 107
336:2x 2x 2x 2x 3x 7
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 7x 107 = 2996
Therefore, the value for common factors is 2996.
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 = 97479533760/(1x2996)
LCM = 97479533760/2996
LCM = 32536560
Thus, we can understand that the LCM of 724,535,336,749 is 32536560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 535, 336, 749
1. What is the LCM of 724, 535, 336, 749?
Answer: LCM of 724, 535, 336, 749 is 32536560.
2. How to calculate the LCM of 724, 535, 336, 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 724, 535, 336, 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}.