LCM of 148, 378, 794, 870, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 378, 794, 870, 444 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 148, 378, 794, 870, 444. So, keep reading to learn more.
Given numbers are 148,378,794,870,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,378,794,870,444 is 1610208180.
Find LCM of 148,378,794,870,444 with Prime Factorization
| 2 | 148, 378, 794, 870, 444 |
| 2 | 74, 189, 397, 435, 222 |
| 3 | 37, 189, 397, 435, 111 |
| 37 | 37, 63, 397, 145, 37 |
| 1, 63, 397, 145, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 1 x 63 x 397 x 145 x 1 = 1610208180
Therefore, the lowest common multiple of 148,378,794,870,444 is 1610208180.
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.
148 x 378 x 794 x 870 x 444 = 17158378366080
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.
148 : 1, 2, 4, 37, 74, 148
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
794 : 1, 2, 397, 794
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,378,794,870,444, is 2.
Now, the common factors can be found like this.
148:2x 2x 37
378:2x 3x 3x 3x 7
794:2x 397
870:2x 3x 5x 29
444:2x 2x 3x 37
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 3x 37 = 5328
Therefore, the value for common factors is 5328.
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 = 17158378366080/(2x5328)
LCM = 17158378366080/10656
LCM = 1610208180
Thus, we can understand that the LCM of 148,378,794,870,444 is 1610208180.
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FAQs on LCM of 148, 378, 794, 870, 444
1. What is the LCM of 148, 378, 794, 870, 444?
Answer: LCM of 148, 378, 794, 870, 444 is 1610208180.
2. How to calculate the LCM of 148, 378, 794, 870, 444?
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 148, 378, 794, 870, 444.
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}.