LCM of 298, 533, 399, 228, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 533, 399, 228, 656 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 298, 533, 399, 228, 656. So, keep reading to learn more.
Given numbers are 298,533,399,228,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,533,399,228,656 is 506998128.
Find LCM of 298,533,399,228,656 with Prime Factorization
| 2 | 298, 533, 399, 228, 656 |
| 2 | 149, 533, 399, 114, 328 |
| 3 | 149, 533, 399, 57, 164 |
| 19 | 149, 533, 133, 19, 164 |
| 41 | 149, 533, 7, 1, 164 |
| 149, 13, 7, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 41 x 149 x 13 x 7 x 1 x 4 = 506998128
Therefore, the lowest common multiple of 298,533,399,228,656 is 506998128.
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.
298 x 533 x 399 x 228 x 656 = 9478837001088
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.
298 : 1, 2, 149, 298
533 : 1, 13, 41, 533
399 : 1, 3, 7, 19, 21, 57, 133, 399
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,533,399,228,656, is 1.
Now, the common factors can be found like this.
298:2x 149
533:13x 41
399:3x 7x 19
228:2x 2x 3x 19
656:2x 2x 2x 2x 41
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 3x 19x 41 = 18696
Therefore, the value for common factors is 18696.
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 = 9478837001088/(1x18696)
LCM = 9478837001088/18696
LCM = 506998128
Thus, we can understand that the LCM of 298,533,399,228,656 is 506998128.
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FAQs on LCM of 298, 533, 399, 228, 656
1. What is the LCM of 298, 533, 399, 228, 656?
Answer: LCM of 298, 533, 399, 228, 656 is 506998128.
2. How to calculate the LCM of 298, 533, 399, 228, 656?
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 298, 533, 399, 228, 656.
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}.