LCM of 319, 830, 754, 828, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 830, 754, 828, 670 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 319, 830, 754, 828, 670. So, keep reading to learn more.
Given numbers are 319,830,754,828,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,830,754,828,670 is 95474473380.
Find LCM of 319,830,754,828,670 with Prime Factorization
| 2 | 319, 830, 754, 828, 670 |
| 5 | 319, 415, 377, 414, 335 |
| 29 | 319, 83, 377, 414, 67 |
| 11, 83, 13, 414, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 11 x 83 x 13 x 414 x 67 = 95474473380
Therefore, the lowest common multiple of 319,830,754,828,670 is 95474473380.
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.
319 x 830 x 754 x 828 x 670 = 110750389120800
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.
319 : 1, 11, 29, 319
830 : 1, 2, 5, 10, 83, 166, 415, 830
754 : 1, 2, 13, 26, 29, 58, 377, 754
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,830,754,828,670, is 1.
Now, the common factors can be found like this.
319:11x 29
830:2x 5x 83
754:2x 13x 29
828:2x 2x 3x 3x 23
670:2x 5x 67
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 5x 29 = 1160
Therefore, the value for common factors is 1160.
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 = 110750389120800/(1x1160)
LCM = 110750389120800/1160
LCM = 95474473380
Thus, we can understand that the LCM of 319,830,754,828,670 is 95474473380.
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FAQs on LCM of 319, 830, 754, 828, 670
1. What is the LCM of 319, 830, 754, 828, 670?
Answer: LCM of 319, 830, 754, 828, 670 is 95474473380.
2. How to calculate the LCM of 319, 830, 754, 828, 670?
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 319, 830, 754, 828, 670.
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}.