LCM of 671, 314, 759, 924, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 314, 759, 924, 718 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 671, 314, 759, 924, 718. So, keep reading to learn more.
Given numbers are 671,314,759,924,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,314,759,924,718 is 73067415036.
Find LCM of 671,314,759,924,718 with Prime Factorization
| 2 | 671, 314, 759, 924, 718 |
| 3 | 671, 157, 759, 462, 359 |
| 11 | 671, 157, 253, 154, 359 |
| 61, 157, 23, 14, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 61 x 157 x 23 x 14 x 359 = 73067415036
Therefore, the lowest common multiple of 671,314,759,924,718 is 73067415036.
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.
671 x 314 x 759 x 924 x 718 = 106093886632272
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.
671 : 1, 11, 61, 671
314 : 1, 2, 157, 314
759 : 1, 3, 11, 23, 33, 69, 253, 759
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
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,314,759,924,718, is 1.
Now, the common factors can be found like this.
671:11x 61
314:2x 157
759:3x 11x 23
924:2x 2x 3x 7x 11
718:2x 359
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 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 106093886632272/(1x1452)
LCM = 106093886632272/1452
LCM = 73067415036
Thus, we can understand that the LCM of 671,314,759,924,718 is 73067415036.
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FAQs on LCM of 671, 314, 759, 924, 718
1. What is the LCM of 671, 314, 759, 924, 718?
Answer: LCM of 671, 314, 759, 924, 718 is 73067415036.
2. How to calculate the LCM of 671, 314, 759, 924, 718?
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 671, 314, 759, 924, 718.
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}.