LCM of 151, 150, 550, 658, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 150, 550, 658, 740 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 151, 150, 550, 658, 740. So, keep reading to learn more.
Given numbers are 151,150,550,658,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,150,550,658,740 is 6065805900.
Find LCM of 151,150,550,658,740 with Prime Factorization
| 2 | 151, 150, 550, 658, 740 |
| 5 | 151, 75, 275, 329, 370 |
| 5 | 151, 15, 55, 329, 74 |
| 151, 3, 11, 329, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 151 x 3 x 11 x 329 x 74 = 6065805900
Therefore, the lowest common multiple of 151,150,550,658,740 is 6065805900.
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.
151 x 150 x 550 x 658 x 740 = 6065805900000
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.
151 : 1, 151
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
658 : 1, 2, 7, 14, 47, 94, 329, 658
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,150,550,658,740, is 1.
Now, the common factors can be found like this.
151:151
150:2x 3x 5x 5
550:2x 5x 5x 11
658:2x 7x 47
740:2x 2x 5x 37
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 5x 5x 5 = 1000
Therefore, the value for common factors is 1000.
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 = 6065805900000/(1x1000)
LCM = 6065805900000/1000
LCM = 6065805900
Thus, we can understand that the LCM of 151,150,550,658,740 is 6065805900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 151, 150, 550, 658, 740
1. What is the LCM of 151, 150, 550, 658, 740?
Answer: LCM of 151, 150, 550, 658, 740 is 6065805900.
2. How to calculate the LCM of 151, 150, 550, 658, 740?
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 151, 150, 550, 658, 740.
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}.