LCM of 767, 981, 346, 754, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 981, 346, 754, 828 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 767, 981, 346, 754, 828. So, keep reading to learn more.
Given numbers are 767,981,346,754,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,981,346,754,828 is 347293215828.
Find LCM of 767,981,346,754,828 with Prime Factorization
| 2 | 767, 981, 346, 754, 828 |
| 3 | 767, 981, 173, 377, 414 |
| 3 | 767, 327, 173, 377, 138 |
| 13 | 767, 109, 173, 377, 46 |
| 59, 109, 173, 29, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 59 x 109 x 173 x 29 x 46 = 347293215828
Therefore, the lowest common multiple of 767,981,346,754,828 is 347293215828.
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.
767 x 981 x 346 x 754 x 828 = 162533225007504
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.
767 : 1, 13, 59, 767
981 : 1, 3, 9, 109, 327, 981
346 : 1, 2, 173, 346
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,981,346,754,828, is 1.
Now, the common factors can be found like this.
767:13x 59
981:3x 3x 109
346:2x 173
754:2x 13x 29
828:2x 2x 3x 3x 23
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 162533225007504/(1x468)
LCM = 162533225007504/468
LCM = 347293215828
Thus, we can understand that the LCM of 767,981,346,754,828 is 347293215828.
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FAQs on LCM of 767, 981, 346, 754, 828
1. What is the LCM of 767, 981, 346, 754, 828?
Answer: LCM of 767, 981, 346, 754, 828 is 347293215828.
2. How to calculate the LCM of 767, 981, 346, 754, 828?
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 767, 981, 346, 754, 828.
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}.