LCM of 587, 302, 744, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 302, 744, 269 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 587, 302, 744, 269. So, keep reading to learn more.
Given numbers are 587,302,744,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,302,744,269 is 17739454632.
Find LCM of 587,302,744,269 with Prime Factorization
| 2 | 587, 302, 744, 269 |
| 587, 151, 372, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 587 x 151 x 372 x 269 = 17739454632
Therefore, the lowest common multiple of 587,302,744,269 is 17739454632.
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.
587 x 302 x 744 x 269 = 35478909264
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.
587 : 1, 587
302 : 1, 2, 151, 302
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,302,744,269, is 1.
Now, the common factors can be found like this.
587:587
302:2x 151
744:2x 2x 2x 3x 31
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 35478909264/(1x2)
LCM = 35478909264/2
LCM = 17739454632
Thus, we can understand that the LCM of 587,302,744,269 is 17739454632.
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FAQs on LCM of 587, 302, 744, 269
1. What is the LCM of 587, 302, 744, 269?
Answer: LCM of 587, 302, 744, 269 is 17739454632.
2. How to calculate the LCM of 587, 302, 744, 269?
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 587, 302, 744, 269.
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}.