LCM of 497, 668, 735, 426, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 668, 735, 426, 428 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 497, 668, 735, 426, 428. So, keep reading to learn more.
Given numbers are 497,668,735,426,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,668,735,426,428 is 3729975060.
Find LCM of 497,668,735,426,428 with Prime Factorization
| 2 | 497, 668, 735, 426, 428 |
| 2 | 497, 334, 735, 213, 214 |
| 3 | 497, 167, 735, 213, 107 |
| 7 | 497, 167, 245, 71, 107 |
| 71 | 71, 167, 35, 71, 107 |
| 1, 167, 35, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 71 x 1 x 167 x 35 x 1 x 107 = 3729975060
Therefore, the lowest common multiple of 497,668,735,426,428 is 3729975060.
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.
497 x 668 x 735 x 426 x 428 = 44491142515680
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.
497 : 1, 7, 71, 497
668 : 1, 2, 4, 167, 334, 668
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
426 : 1, 2, 3, 6, 71, 142, 213, 426
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,668,735,426,428, is 1.
Now, the common factors can be found like this.
497:7x 71
668:2x 2x 167
735:3x 5x 7x 7
426:2x 3x 71
428:2x 2x 107
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 7x 71 = 11928
Therefore, the value for common factors is 11928.
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 = 44491142515680/(1x11928)
LCM = 44491142515680/11928
LCM = 3729975060
Thus, we can understand that the LCM of 497,668,735,426,428 is 3729975060.
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FAQs on LCM of 497, 668, 735, 426, 428
1. What is the LCM of 497, 668, 735, 426, 428?
Answer: LCM of 497, 668, 735, 426, 428 is 3729975060.
2. How to calculate the LCM of 497, 668, 735, 426, 428?
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 497, 668, 735, 426, 428.
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}.