LCM of 803, 874, 354, 419, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 874, 354, 419, 969 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 803, 874, 354, 419, 969. So, keep reading to learn more.
Given numbers are 803,874,354,419,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,874,354,419,969 is 884836824762.
Find LCM of 803,874,354,419,969 with Prime Factorization
| 2 | 803, 874, 354, 419, 969 |
| 3 | 803, 437, 177, 419, 969 |
| 19 | 803, 437, 59, 419, 323 |
| 803, 23, 59, 419, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 803 x 23 x 59 x 419 x 17 = 884836824762
Therefore, the lowest common multiple of 803,874,354,419,969 is 884836824762.
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.
803 x 874 x 354 x 419 x 969 = 100871398022868
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.
803 : 1, 11, 73, 803
874 : 1, 2, 19, 23, 38, 46, 437, 874
354 : 1, 2, 3, 6, 59, 118, 177, 354
419 : 1, 419
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,874,354,419,969, is 1.
Now, the common factors can be found like this.
803:11x 73
874:2x 19x 23
354:2x 3x 59
419:419
969:3x 17x 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 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 100871398022868/(1x114)
LCM = 100871398022868/114
LCM = 884836824762
Thus, we can understand that the LCM of 803,874,354,419,969 is 884836824762.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 874, 354, 419, 969
1. What is the LCM of 803, 874, 354, 419, 969?
Answer: LCM of 803, 874, 354, 419, 969 is 884836824762.
2. How to calculate the LCM of 803, 874, 354, 419, 969?
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 803, 874, 354, 419, 969.
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}.