LCM of 761, 496, 578, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 496, 578, 434 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 761, 496, 578, 434. So, keep reading to learn more.
Given numbers are 761,496,578,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,496,578,434 is 763593488.
Find LCM of 761,496,578,434 with Prime Factorization
| 2 | 761, 496, 578, 434 |
| 31 | 761, 248, 289, 217 |
| 761, 8, 289, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 761 x 8 x 289 x 7 = 763593488
Therefore, the lowest common multiple of 761,496,578,434 is 763593488.
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.
761 x 496 x 578 x 434 = 94685592512
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.
761 : 1, 761
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
578 : 1, 2, 17, 34, 289, 578
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,496,578,434, is 1.
Now, the common factors can be found like this.
761:761
496:2x 2x 2x 2x 31
578:2x 17x 17
434:2x 7x 31
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 31 = 124
Therefore, the value for common factors is 124.
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 = 94685592512/(1x124)
LCM = 94685592512/124
LCM = 763593488
Thus, we can understand that the LCM of 761,496,578,434 is 763593488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 761, 496, 578, 434
1. What is the LCM of 761, 496, 578, 434?
Answer: LCM of 761, 496, 578, 434 is 763593488.
2. How to calculate the LCM of 761, 496, 578, 434?
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 761, 496, 578, 434.
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}.