LCM of 140, 464, 506, 754, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 464, 506, 754, 130 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 140, 464, 506, 754, 130. So, keep reading to learn more.
Given numbers are 140,464,506,754,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,464,506,754,130 is 53413360.
Find LCM of 140,464,506,754,130 with Prime Factorization
| 2 | 140, 464, 506, 754, 130 |
| 2 | 70, 232, 253, 377, 65 |
| 5 | 35, 116, 253, 377, 65 |
| 13 | 7, 116, 253, 377, 13 |
| 29 | 7, 116, 253, 29, 1 |
| 7, 4, 253, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 29 x 7 x 4 x 253 x 1 x 1 = 53413360
Therefore, the lowest common multiple of 140,464,506,754,130 is 53413360.
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.
140 x 464 x 506 x 754 x 130 = 3221893875200
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
506 : 1, 2, 11, 22, 23, 46, 253, 506
754 : 1, 2, 13, 26, 29, 58, 377, 754
130 : 1, 2, 5, 10, 13, 26, 65, 130
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,464,506,754,130, is 2.
Now, the common factors can be found like this.
140:2x 2x 5x 7
464:2x 2x 2x 2x 29
506:2x 11x 23
754:2x 13x 29
130:2x 5x 13
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 5x 13x 29 = 30160
Therefore, the value for common factors is 30160.
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 = 3221893875200/(2x30160)
LCM = 3221893875200/60320
LCM = 53413360
Thus, we can understand that the LCM of 140,464,506,754,130 is 53413360.
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FAQs on LCM of 140, 464, 506, 754, 130
1. What is the LCM of 140, 464, 506, 754, 130?
Answer: LCM of 140, 464, 506, 754, 130 is 53413360.
2. How to calculate the LCM of 140, 464, 506, 754, 130?
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 140, 464, 506, 754, 130.
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}.