LCM of 238, 780, 754, 189, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 780, 754, 189, 374 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 238, 780, 754, 189, 374. So, keep reading to learn more.
Given numbers are 238,780,754,189,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,780,754,189,374 is 266486220.
Find LCM of 238,780,754,189,374 with Prime Factorization
| 2 | 238, 780, 754, 189, 374 |
| 3 | 119, 390, 377, 189, 187 |
| 7 | 119, 130, 377, 63, 187 |
| 13 | 17, 130, 377, 9, 187 |
| 17 | 17, 10, 29, 9, 187 |
| 1, 10, 29, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 17 x 1 x 10 x 29 x 9 x 11 = 266486220
Therefore, the lowest common multiple of 238,780,754,189,374 is 266486220.
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.
238 x 780 x 754 x 189 x 374 = 9894100376160
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
754 : 1, 2, 13, 26, 29, 58, 377, 754
189 : 1, 3, 7, 9, 21, 27, 63, 189
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,780,754,189,374, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
780:2x 2x 3x 5x 13
754:2x 13x 29
189:3x 3x 3x 7
374:2x 11x 17
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 3x 7x 13x 17 = 37128
Therefore, the value for common factors is 37128.
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 = 9894100376160/(1x37128)
LCM = 9894100376160/37128
LCM = 266486220
Thus, we can understand that the LCM of 238,780,754,189,374 is 266486220.
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FAQs on LCM of 238, 780, 754, 189, 374
1. What is the LCM of 238, 780, 754, 189, 374?
Answer: LCM of 238, 780, 754, 189, 374 is 266486220.
2. How to calculate the LCM of 238, 780, 754, 189, 374?
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 238, 780, 754, 189, 374.
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}.