LCM of 380, 770, 362, 623, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 770, 362, 623, 749 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 380, 770, 362, 623, 749. So, keep reading to learn more.
Given numbers are 380,770,362,623,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,770,362,623,749 is 50434379380.
Find LCM of 380,770,362,623,749 with Prime Factorization
| 2 | 380, 770, 362, 623, 749 |
| 5 | 190, 385, 181, 623, 749 |
| 7 | 38, 77, 181, 623, 749 |
| 38, 11, 181, 89, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 38 x 11 x 181 x 89 x 107 = 50434379380
Therefore, the lowest common multiple of 380,770,362,623,749 is 50434379380.
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.
380 x 770 x 362 x 623 x 749 = 49425691792400
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
362 : 1, 2, 181, 362
623 : 1, 7, 89, 623
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,770,362,623,749, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
770:2x 5x 7x 11
362:2x 181
623:7x 89
749:7x 107
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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 49425691792400/(1x980)
LCM = 49425691792400/980
LCM = 50434379380
Thus, we can understand that the LCM of 380,770,362,623,749 is 50434379380.
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FAQs on LCM of 380, 770, 362, 623, 749
1. What is the LCM of 380, 770, 362, 623, 749?
Answer: LCM of 380, 770, 362, 623, 749 is 50434379380.
2. How to calculate the LCM of 380, 770, 362, 623, 749?
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 380, 770, 362, 623, 749.
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}.