LCM of 715, 688, 490, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 688, 490, 120 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 715, 688, 490, 120. So, keep reading to learn more.
Given numbers are 715,688,490,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,688,490,120 is 72312240.
Find LCM of 715,688,490,120 with Prime Factorization
| 2 | 715, 688, 490, 120 |
| 2 | 715, 344, 245, 60 |
| 2 | 715, 172, 245, 30 |
| 5 | 715, 86, 245, 15 |
| 143, 86, 49, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 143 x 86 x 49 x 3 = 72312240
Therefore, the lowest common multiple of 715,688,490,120 is 72312240.
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.
715 x 688 x 490 x 120 = 28924896000
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,688,490,120, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
688:2x 2x 2x 2x 43
490:2x 5x 7x 7
120:2x 2x 2x 3x 5
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 5 = 400
Therefore, the value for common factors is 400.
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 = 28924896000/(1x400)
LCM = 28924896000/400
LCM = 72312240
Thus, we can understand that the LCM of 715,688,490,120 is 72312240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 715, 688, 490, 120
1. What is the LCM of 715, 688, 490, 120?
Answer: LCM of 715, 688, 490, 120 is 72312240.
2. How to calculate the LCM of 715, 688, 490, 120?
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 715, 688, 490, 120.
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}.