LCM of 770, 436, 460, 565, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 436, 460, 565, 368 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 770, 436, 460, 565, 368. So, keep reading to learn more.
Given numbers are 770,436,460,565,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,436,460,565,368 is 1745072560.
Find LCM of 770,436,460,565,368 with Prime Factorization
| 2 | 770, 436, 460, 565, 368 |
| 2 | 385, 218, 230, 565, 184 |
| 5 | 385, 109, 115, 565, 92 |
| 23 | 77, 109, 23, 113, 92 |
| 77, 109, 1, 113, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 77 x 109 x 1 x 113 x 4 = 1745072560
Therefore, the lowest common multiple of 770,436,460,565,368 is 1745072560.
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.
770 x 436 x 460 x 565 x 368 = 32109335104000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
436 : 1, 2, 4, 109, 218, 436
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
565 : 1, 5, 113, 565
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,436,460,565,368, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
436:2x 2x 109
460:2x 2x 5x 23
565:5x 113
368:2x 2x 2x 2x 23
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 2x 2x 5x 5x 23 = 18400
Therefore, the value for common factors is 18400.
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 = 32109335104000/(1x18400)
LCM = 32109335104000/18400
LCM = 1745072560
Thus, we can understand that the LCM of 770,436,460,565,368 is 1745072560.
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FAQs on LCM of 770, 436, 460, 565, 368
1. What is the LCM of 770, 436, 460, 565, 368?
Answer: LCM of 770, 436, 460, 565, 368 is 1745072560.
2. How to calculate the LCM of 770, 436, 460, 565, 368?
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 770, 436, 460, 565, 368.
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}.