LCM of 978, 272, 735, 759, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 272, 735, 759, 431 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 978, 272, 735, 759, 431. So, keep reading to learn more.
Given numbers are 978,272,735,759,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,272,735,759,431 is 3553379879280.
Find LCM of 978,272,735,759,431 with Prime Factorization
| 2 | 978, 272, 735, 759, 431 |
| 3 | 489, 136, 735, 759, 431 |
| 163, 136, 245, 253, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 136 x 245 x 253 x 431 = 3553379879280
Therefore, the lowest common multiple of 978,272,735,759,431 is 3553379879280.
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.
978 x 272 x 735 x 759 x 431 = 63960837827040
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
759 : 1, 3, 11, 23, 33, 69, 253, 759
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,272,735,759,431, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
272:2x 2x 2x 2x 17
735:3x 5x 7x 7
759:3x 11x 23
431:431
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 3 = 18
Therefore, the value for common factors is 18.
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 = 63960837827040/(1x18)
LCM = 63960837827040/18
LCM = 3553379879280
Thus, we can understand that the LCM of 978,272,735,759,431 is 3553379879280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 978, 272, 735, 759, 431
1. What is the LCM of 978, 272, 735, 759, 431?
Answer: LCM of 978, 272, 735, 759, 431 is 3553379879280.
2. How to calculate the LCM of 978, 272, 735, 759, 431?
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 978, 272, 735, 759, 431.
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}.