LCM of 785, 314, 530, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 314, 530, 498 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 785, 314, 530, 498. So, keep reading to learn more.
Given numbers are 785,314,530,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,314,530,498 is 20719290.
Find LCM of 785,314,530,498 with Prime Factorization
| 2 | 785, 314, 530, 498 |
| 5 | 785, 157, 265, 249 |
| 157 | 157, 157, 53, 249 |
| 1, 1, 53, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 157 x 1 x 1 x 53 x 249 = 20719290
Therefore, the lowest common multiple of 785,314,530,498 is 20719290.
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.
785 x 314 x 530 x 498 = 65058570600
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.
785 : 1, 5, 157, 785
314 : 1, 2, 157, 314
530 : 1, 2, 5, 10, 53, 106, 265, 530
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,314,530,498, is 1.
Now, the common factors can be found like this.
785:5x 157
314:2x 157
530:2x 5x 53
498:2x 3x 83
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 5x 157 = 3140
Therefore, the value for common factors is 3140.
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 = 65058570600/(1x3140)
LCM = 65058570600/3140
LCM = 20719290
Thus, we can understand that the LCM of 785,314,530,498 is 20719290.
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FAQs on LCM of 785, 314, 530, 498
1. What is the LCM of 785, 314, 530, 498?
Answer: LCM of 785, 314, 530, 498 is 20719290.
2. How to calculate the LCM of 785, 314, 530, 498?
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 785, 314, 530, 498.
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}.