LCM of 498, 916, 785, 690, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 916, 785, 690, 742 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 498, 916, 785, 690, 742. So, keep reading to learn more.
Given numbers are 498,916,785,690,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,916,785,690,742 is 1527799006020.
Find LCM of 498,916,785,690,742 with Prime Factorization
| 2 | 498, 916, 785, 690, 742 |
| 3 | 249, 458, 785, 345, 371 |
| 5 | 83, 458, 785, 115, 371 |
| 83, 458, 157, 23, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 458 x 157 x 23 x 371 = 1527799006020
Therefore, the lowest common multiple of 498,916,785,690,742 is 1527799006020.
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.
498 x 916 x 785 x 690 x 742 = 183335880722400
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
916 : 1, 2, 4, 229, 458, 916
785 : 1, 5, 157, 785
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,916,785,690,742, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
916:2x 2x 229
785:5x 157
690:2x 3x 5x 23
742:2x 7x 53
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 183335880722400/(1x120)
LCM = 183335880722400/120
LCM = 1527799006020
Thus, we can understand that the LCM of 498,916,785,690,742 is 1527799006020.
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FAQs on LCM of 498, 916, 785, 690, 742
1. What is the LCM of 498, 916, 785, 690, 742?
Answer: LCM of 498, 916, 785, 690, 742 is 1527799006020.
2. How to calculate the LCM of 498, 916, 785, 690, 742?
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 498, 916, 785, 690, 742.
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}.