Find the LCM of 357, 554, 902, 572, 276 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, 554, 902, 572, 276. So, keep reading to learn more.
Given numbers are 357,554,902,572,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,554,902,572,276 is 53340331044.
Find LCM of 357,554,902,572,276 with Prime Factorization
2 | 357, 554, 902, 572, 276 |
2 | 357, 277, 451, 286, 138 |
3 | 357, 277, 451, 143, 69 |
11 | 119, 277, 451, 143, 23 |
119, 277, 41, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 119 x 277 x 41 x 13 x 23 = 53340331044
Therefore, the lowest common multiple of 357,554,902,572,276 is 53340331044.
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 554 x 902 x 572 x 276 = 28163694791232
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
554 : 1, 2, 277, 554
902 : 1, 2, 11, 22, 41, 82, 451, 902
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,554,902,572,276, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
554:2x 277
902:2x 11x 41
572:2x 2x 11x 13
276:2x 2x 3x 23
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 28163694791232/(1x528)
LCM = 28163694791232/528
LCM = 53340331044
Thus, we can understand that the LCM of 357,554,902,572,276 is 53340331044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 554, 902, 572, 276?
Answer: LCM of 357, 554, 902, 572, 276 is 53340331044.
2. How to calculate the LCM of 357, 554, 902, 572, 276?
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, 554, 902, 572, 276.
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}.