LCM of 770, 312, 402, 737, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 312, 402, 737, 456 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, 312, 402, 737, 456. So, keep reading to learn more.
Given numbers are 770,312,402,737,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,312,402,737,456 is 152912760.
Find LCM of 770,312,402,737,456 with Prime Factorization
| 2 | 770, 312, 402, 737, 456 |
| 2 | 385, 156, 201, 737, 228 |
| 2 | 385, 78, 201, 737, 114 |
| 3 | 385, 39, 201, 737, 57 |
| 11 | 385, 13, 67, 737, 19 |
| 67 | 35, 13, 67, 67, 19 |
| 35, 13, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 67 x 35 x 13 x 1 x 1 x 19 = 152912760
Therefore, the lowest common multiple of 770,312,402,737,456 is 152912760.
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 312 x 402 x 737 x 456 = 32456650786560
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
402 : 1, 2, 3, 6, 67, 134, 201, 402
737 : 1, 11, 67, 737
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,312,402,737,456, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
312:2x 2x 2x 3x 13
402:2x 3x 67
737:11x 67
456:2x 2x 2x 3x 19
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 3x 3x 11x 67 = 212256
Therefore, the value for common factors is 212256.
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 = 32456650786560/(1x212256)
LCM = 32456650786560/212256
LCM = 152912760
Thus, we can understand that the LCM of 770,312,402,737,456 is 152912760.
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FAQs on LCM of 770, 312, 402, 737, 456
1. What is the LCM of 770, 312, 402, 737, 456?
Answer: LCM of 770, 312, 402, 737, 456 is 152912760.
2. How to calculate the LCM of 770, 312, 402, 737, 456?
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, 312, 402, 737, 456.
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}.