LCM of 874, 456, 660, 520, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 456, 660, 520, 694 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 874, 456, 660, 520, 694. So, keep reading to learn more.
Given numbers are 874,456,660,520,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,456,660,520,694 is 2602125240.
Find LCM of 874,456,660,520,694 with Prime Factorization
| 2 | 874, 456, 660, 520, 694 |
| 2 | 437, 228, 330, 260, 347 |
| 2 | 437, 114, 165, 130, 347 |
| 3 | 437, 57, 165, 65, 347 |
| 5 | 437, 19, 55, 65, 347 |
| 19 | 437, 19, 11, 13, 347 |
| 23, 1, 11, 13, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 23 x 1 x 11 x 13 x 347 = 2602125240
Therefore, the lowest common multiple of 874,456,660,520,694 is 2602125240.
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.
874 x 456 x 660 x 520 x 694 = 94925528755200
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
694 : 1, 2, 347, 694
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,456,660,520,694, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
456:2x 2x 2x 3x 19
660:2x 2x 3x 5x 11
520:2x 2x 2x 5x 13
694:2x 347
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 3x 5x 19 = 18240
Therefore, the value for common factors is 18240.
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 = 94925528755200/(2x18240)
LCM = 94925528755200/36480
LCM = 2602125240
Thus, we can understand that the LCM of 874,456,660,520,694 is 2602125240.
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FAQs on LCM of 874, 456, 660, 520, 694
1. What is the LCM of 874, 456, 660, 520, 694?
Answer: LCM of 874, 456, 660, 520, 694 is 2602125240.
2. How to calculate the LCM of 874, 456, 660, 520, 694?
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 874, 456, 660, 520, 694.
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}.