LCM of 140, 683, 692, 147, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 683, 692, 147, 490 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, 683, 692, 147, 490. So, keep reading to learn more.
Given numbers are 140,683,692,147,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,683,692,147,490 is 347387460.
Find LCM of 140,683,692,147,490 with Prime Factorization
| 2 | 140, 683, 692, 147, 490 |
| 2 | 70, 683, 346, 147, 245 |
| 5 | 35, 683, 173, 147, 245 |
| 7 | 7, 683, 173, 147, 49 |
| 7 | 1, 683, 173, 21, 7 |
| 1, 683, 173, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 1 x 683 x 173 x 3 x 1 = 347387460
Therefore, the lowest common multiple of 140,683,692,147,490 is 347387460.
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 683 x 692 x 147 x 490 = 4766155951200
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
683 : 1, 683
692 : 1, 2, 4, 173, 346, 692
147 : 1, 3, 7, 21, 49, 147
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,683,692,147,490, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
683:683
692:2x 2x 173
147:3x 7x 7
490:2x 5x 7x 7
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 7x 7x 7 = 13720
Therefore, the value for common factors is 13720.
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 = 4766155951200/(1x13720)
LCM = 4766155951200/13720
LCM = 347387460
Thus, we can understand that the LCM of 140,683,692,147,490 is 347387460.
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FAQs on LCM of 140, 683, 692, 147, 490
1. What is the LCM of 140, 683, 692, 147, 490?
Answer: LCM of 140, 683, 692, 147, 490 is 347387460.
2. How to calculate the LCM of 140, 683, 692, 147, 490?
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, 683, 692, 147, 490.
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}.