LCM of 140, 697, 924, 469, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 697, 924, 469, 931 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 140, 697, 924, 469, 931. So, keep reading to learn more.
Given numbers are 140,697,924,469,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,697,924,469,931 is 28694667540.
Find LCM of 140,697,924,469,931 with Prime Factorization
| 2 | 140, 697, 924, 469, 931 |
| 2 | 70, 697, 462, 469, 931 |
| 7 | 35, 697, 231, 469, 931 |
| 5, 697, 33, 67, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 5 x 697 x 33 x 67 x 133 = 28694667540
Therefore, the lowest common multiple of 140,697,924,469,931 is 28694667540.
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.
140 x 697 x 924 x 469 x 931 = 39369083864880
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
697 : 1, 17, 41, 697
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
469 : 1, 7, 67, 469
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,697,924,469,931, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
697:17x 41
924:2x 2x 3x 7x 11
469:7x 67
931:7x 7x 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 2x 7x 7x 7 = 1372
Therefore, the value for common factors is 1372.
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 = 39369083864880/(1x1372)
LCM = 39369083864880/1372
LCM = 28694667540
Thus, we can understand that the LCM of 140,697,924,469,931 is 28694667540.
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FAQs on LCM of 140, 697, 924, 469, 931
1. What is the LCM of 140, 697, 924, 469, 931?
Answer: LCM of 140, 697, 924, 469, 931 is 28694667540.
2. How to calculate the LCM of 140, 697, 924, 469, 931?
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 140, 697, 924, 469, 931.
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}.