Find the LCM of 874, 306, 298, 578, 956 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 874, 306, 298, 578, 956. So, keep reading to learn more.
Given numbers are 874,306,298,578,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,306,298,578,956 is 161907120828.
Find LCM of 874,306,298,578,956 with Prime Factorization
2 | 874, 306, 298, 578, 956 |
17 | 437, 153, 149, 289, 478 |
437, 9, 149, 17, 478 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 437 x 9 x 149 x 17 x 478 = 161907120828
Therefore, the lowest common multiple of 874,306,298,578,956 is 161907120828.
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.
874 x 306 x 298 x 578 x 956 = 44038736865216
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
298 : 1, 2, 149, 298
578 : 1, 2, 17, 34, 289, 578
956 : 1, 2, 4, 239, 478, 956
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,306,298,578,956, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
306:2x 3x 3x 17
298:2x 149
578:2x 17x 17
956:2x 2x 239
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 17 = 136
Therefore, the value for common factors is 136.
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 = 44038736865216/(2x136)
LCM = 44038736865216/272
LCM = 161907120828
Thus, we can understand that the LCM of 874,306,298,578,956 is 161907120828.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 306, 298, 578, 956?
Answer: LCM of 874, 306, 298, 578, 956 is 161907120828.
2. How to calculate the LCM of 874, 306, 298, 578, 956?
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 874, 306, 298, 578, 956.
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}.