LCM of 874, 346, 798, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 346, 798, 120 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, 346, 798, 120. So, keep reading to learn more.
Given numbers are 874,346,798,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,346,798,120 is 63504840.
Find LCM of 874,346,798,120 with Prime Factorization
| 2 | 874, 346, 798, 120 |
| 3 | 437, 173, 399, 60 |
| 19 | 437, 173, 133, 20 |
| 23, 173, 7, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 173 x 7 x 20 = 63504840
Therefore, the lowest common multiple of 874,346,798,120 is 63504840.
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 346 x 798 x 120 = 28958207040
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
346 : 1, 2, 173, 346
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,346,798,120, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
346:2x 173
798:2x 3x 7x 19
120:2x 2x 2x 3x 5
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 28958207040/(2x228)
LCM = 28958207040/456
LCM = 63504840
Thus, we can understand that the LCM of 874,346,798,120 is 63504840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 346, 798, 120
1. What is the LCM of 874, 346, 798, 120?
Answer: LCM of 874, 346, 798, 120 is 63504840.
2. How to calculate the LCM of 874, 346, 798, 120?
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, 346, 798, 120.
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}.