LCM of 753, 286, 533, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 286, 533, 260 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 753, 286, 533, 260. So, keep reading to learn more.
Given numbers are 753,286,533,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,286,533,260 is 88296780.
Find LCM of 753,286,533,260 with Prime Factorization
| 2 | 753, 286, 533, 260 |
| 13 | 753, 143, 533, 130 |
| 753, 11, 41, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 753 x 11 x 41 x 10 = 88296780
Therefore, the lowest common multiple of 753,286,533,260 is 88296780.
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.
753 x 286 x 533 x 260 = 29844311640
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.
753 : 1, 3, 251, 753
286 : 1, 2, 11, 13, 22, 26, 143, 286
533 : 1, 13, 41, 533
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,286,533,260, is 1.
Now, the common factors can be found like this.
753:3x 251
286:2x 11x 13
533:13x 41
260:2x 2x 5x 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 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 29844311640/(1x338)
LCM = 29844311640/338
LCM = 88296780
Thus, we can understand that the LCM of 753,286,533,260 is 88296780.
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FAQs on LCM of 753, 286, 533, 260
1. What is the LCM of 753, 286, 533, 260?
Answer: LCM of 753, 286, 533, 260 is 88296780.
2. How to calculate the LCM of 753, 286, 533, 260?
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 753, 286, 533, 260.
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}.