LCM of 533, 780, 724, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 780, 724, 338 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 533, 780, 724, 338. So, keep reading to learn more.
Given numbers are 533,780,724,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,780,724,338 is 75248940.
Find LCM of 533,780,724,338 with Prime Factorization
| 2 | 533, 780, 724, 338 |
| 2 | 533, 390, 362, 169 |
| 13 | 533, 195, 181, 169 |
| 41, 15, 181, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 41 x 15 x 181 x 13 = 75248940
Therefore, the lowest common multiple of 533,780,724,338 is 75248940.
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.
533 x 780 x 724 x 338 = 101736566880
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.
533 : 1, 13, 41, 533
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
724 : 1, 2, 4, 181, 362, 724
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,780,724,338, is 1.
Now, the common factors can be found like this.
533:13x 41
780:2x 2x 3x 5x 13
724:2x 2x 181
338:2x 13x 13
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 2x 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 101736566880/(1x1352)
LCM = 101736566880/1352
LCM = 75248940
Thus, we can understand that the LCM of 533,780,724,338 is 75248940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 533, 780, 724, 338
1. What is the LCM of 533, 780, 724, 338?
Answer: LCM of 533, 780, 724, 338 is 75248940.
2. How to calculate the LCM of 533, 780, 724, 338?
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 533, 780, 724, 338.
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}.