LCM of 945, 416, 269, 546, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 416, 269, 546, 901 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 945, 416, 269, 546, 901. So, keep reading to learn more.
Given numbers are 945,416,269,546,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,416,269,546,901 is 95280101280.
Find LCM of 945,416,269,546,901 with Prime Factorization
| 2 | 945, 416, 269, 546, 901 |
| 3 | 945, 208, 269, 273, 901 |
| 7 | 315, 208, 269, 91, 901 |
| 13 | 45, 208, 269, 13, 901 |
| 45, 16, 269, 1, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 45 x 16 x 269 x 1 x 901 = 95280101280
Therefore, the lowest common multiple of 945,416,269,546,901 is 95280101280.
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.
945 x 416 x 269 x 546 x 901 = 52022935298880
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
269 : 1, 269
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,416,269,546,901, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
416:2x 2x 2x 2x 2x 13
269:269
546:2x 3x 7x 13
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 52022935298880/(1x546)
LCM = 52022935298880/546
LCM = 95280101280
Thus, we can understand that the LCM of 945,416,269,546,901 is 95280101280.
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FAQs on LCM of 945, 416, 269, 546, 901
1. What is the LCM of 945, 416, 269, 546, 901?
Answer: LCM of 945, 416, 269, 546, 901 is 95280101280.
2. How to calculate the LCM of 945, 416, 269, 546, 901?
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 945, 416, 269, 546, 901.
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}.