LCM of 254, 697, 533, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 697, 533, 392 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 254, 697, 533, 392. So, keep reading to learn more.
Given numbers are 254,697,533,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,697,533,392 is 451092824.
Find LCM of 254,697,533,392 with Prime Factorization
| 2 | 254, 697, 533, 392 |
| 41 | 127, 697, 533, 196 |
| 127, 17, 13, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 127 x 17 x 13 x 196 = 451092824
Therefore, the lowest common multiple of 254,697,533,392 is 451092824.
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.
254 x 697 x 533 x 392 = 36989611568
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.
254 : 1, 2, 127, 254
697 : 1, 17, 41, 697
533 : 1, 13, 41, 533
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,697,533,392, is 1.
Now, the common factors can be found like this.
254:2x 127
697:17x 41
533:13x 41
392:2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 41 = 82
Therefore, the value for common factors is 82.
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 = 36989611568/(1x82)
LCM = 36989611568/82
LCM = 451092824
Thus, we can understand that the LCM of 254,697,533,392 is 451092824.
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FAQs on LCM of 254, 697, 533, 392
1. What is the LCM of 254, 697, 533, 392?
Answer: LCM of 254, 697, 533, 392 is 451092824.
2. How to calculate the LCM of 254, 697, 533, 392?
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 254, 697, 533, 392.
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}.