LCM of 957, 896, 924, 708, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 896, 924, 708, 228 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 957, 896, 924, 708, 228. So, keep reading to learn more.
Given numbers are 957,896,924,708,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,896,924,708,228 is 961226112.
Find LCM of 957,896,924,708,228 with Prime Factorization
| 2 | 957, 896, 924, 708, 228 |
| 2 | 957, 448, 462, 354, 114 |
| 3 | 957, 224, 231, 177, 57 |
| 7 | 319, 224, 77, 59, 19 |
| 11 | 319, 32, 11, 59, 19 |
| 29, 32, 1, 59, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 29 x 32 x 1 x 59 x 19 = 961226112
Therefore, the lowest common multiple of 957,896,924,708,228 is 961226112.
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.
957 x 896 x 924 x 708 x 228 = 127896901558272
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,896,924,708,228, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
896:2x 2x 2x 2x 2x 2x 2x 7
924:2x 2x 3x 7x 11
708:2x 2x 3x 59
228:2x 2x 3x 19
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 3x 3x 7x 11 = 133056
Therefore, the value for common factors is 133056.
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 = 127896901558272/(1x133056)
LCM = 127896901558272/133056
LCM = 961226112
Thus, we can understand that the LCM of 957,896,924,708,228 is 961226112.
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FAQs on LCM of 957, 896, 924, 708, 228
1. What is the LCM of 957, 896, 924, 708, 228?
Answer: LCM of 957, 896, 924, 708, 228 is 961226112.
2. How to calculate the LCM of 957, 896, 924, 708, 228?
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 957, 896, 924, 708, 228.
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}.