LCM of 736, 512, 526, 874, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 512, 526, 874, 420 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 736, 512, 526, 874, 420. So, keep reading to learn more.
Given numbers are 736,512,526,874,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,512,526,874,420 is 6178690560.
Find LCM of 736,512,526,874,420 with Prime Factorization
| 2 | 736, 512, 526, 874, 420 |
| 2 | 368, 256, 263, 437, 210 |
| 2 | 184, 128, 263, 437, 105 |
| 2 | 92, 64, 263, 437, 105 |
| 2 | 46, 32, 263, 437, 105 |
| 23 | 23, 16, 263, 437, 105 |
| 1, 16, 263, 19, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 23 x 1 x 16 x 263 x 19 x 105 = 6178690560
Therefore, the lowest common multiple of 736,512,526,874,420 is 6178690560.
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.
736 x 512 x 526 x 874 x 420 = 72760260034560
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
526 : 1, 2, 263, 526
874 : 1, 2, 19, 23, 38, 46, 437, 874
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,512,526,874,420, is 2.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
512:2x 2x 2x 2x 2x 2x 2x 2x 2
526:2x 263
874:2x 19x 23
420:2x 2x 3x 5x 7
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 2x 2x 2x 2x 2x 23 = 5888
Therefore, the value for common factors is 5888.
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 = 72760260034560/(2x5888)
LCM = 72760260034560/11776
LCM = 6178690560
Thus, we can understand that the LCM of 736,512,526,874,420 is 6178690560.
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FAQs on LCM of 736, 512, 526, 874, 420
1. What is the LCM of 736, 512, 526, 874, 420?
Answer: LCM of 736, 512, 526, 874, 420 is 6178690560.
2. How to calculate the LCM of 736, 512, 526, 874, 420?
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 736, 512, 526, 874, 420.
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}.