LCM of 730, 219, 938, 771, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 219, 938, 771, 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 730, 219, 938, 771, 969. So, keep reading to learn more.
Given numbers are 730,219,938,771,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,219,938,771,969 is 85261428210.
Find LCM of 730,219,938,771,969 with Prime Factorization
| 2 | 730, 219, 938, 771, 969 |
| 3 | 365, 219, 469, 771, 969 |
| 73 | 365, 73, 469, 257, 323 |
| 5, 1, 469, 257, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 5 x 1 x 469 x 257 x 323 = 85261428210
Therefore, the lowest common multiple of 730,219,938,771,969 is 85261428210.
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.
730 x 219 x 938 x 771 x 969 = 112033516667940
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
219 : 1, 3, 73, 219
938 : 1, 2, 7, 14, 67, 134, 469, 938
771 : 1, 3, 257, 771
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 730,219,938,771,969, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
219:3x 73
938:2x 7x 67
771:3x 257
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 3x 73 = 1314
Therefore, the value for common factors is 1314.
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 = 112033516667940/(1x1314)
LCM = 112033516667940/1314
LCM = 85261428210
Thus, we can understand that the LCM of 730,219,938,771,969 is 85261428210.
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FAQs on LCM of 730, 219, 938, 771, 969
1. What is the LCM of 730, 219, 938, 771, 969?
Answer: LCM of 730, 219, 938, 771, 969 is 85261428210.
2. How to calculate the LCM of 730, 219, 938, 771, 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 730, 219, 938, 771, 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}.