LCM of 357, 884, 931, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 884, 931, 546 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 357, 884, 931, 546. So, keep reading to learn more.
Given numbers are 357,884,931,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,884,931,546 is 2469012.
Find LCM of 357,884,931,546 with Prime Factorization
| 2 | 357, 884, 931, 546 |
| 3 | 357, 442, 931, 273 |
| 7 | 119, 442, 931, 91 |
| 13 | 17, 442, 133, 13 |
| 17 | 17, 34, 133, 1 |
| 1, 2, 133, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 17 x 1 x 2 x 133 x 1 = 2469012
Therefore, the lowest common multiple of 357,884,931,546 is 2469012.
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.
357 x 884 x 931 x 546 = 160421585688
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
931 : 1, 7, 19, 49, 133, 931
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,884,931,546, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
884:2x 2x 13x 17
931:7x 7x 19
546:2x 3x 7x 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 3x 7x 7x 13x 17 = 64974
Therefore, the value for common factors is 64974.
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 = 160421585688/(1x64974)
LCM = 160421585688/64974
LCM = 2469012
Thus, we can understand that the LCM of 357,884,931,546 is 2469012.
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FAQs on LCM of 357, 884, 931, 546
1. What is the LCM of 357, 884, 931, 546?
Answer: LCM of 357, 884, 931, 546 is 2469012.
2. How to calculate the LCM of 357, 884, 931, 546?
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 357, 884, 931, 546.
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}.