LCM of 875, 120, 672, 653, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 875, 120, 672, 653, 126 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 875, 120, 672, 653, 126. So, keep reading to learn more.
Given numbers are 875,120,672,653,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,120,672,653,126 is 164556000.
Find LCM of 875,120,672,653,126 with Prime Factorization
| 2 | 875, 120, 672, 653, 126 |
| 2 | 875, 60, 336, 653, 63 |
| 2 | 875, 30, 168, 653, 63 |
| 3 | 875, 15, 84, 653, 63 |
| 5 | 875, 5, 28, 653, 21 |
| 7 | 175, 1, 28, 653, 21 |
| 25, 1, 4, 653, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 25 x 1 x 4 x 653 x 3 = 164556000
Therefore, the lowest common multiple of 875,120,672,653,126 is 164556000.
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.
875 x 120 x 672 x 653 x 126 = 5805535680000
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
653 : 1, 653
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,120,672,653,126, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
120:2x 2x 2x 3x 5
672:2x 2x 2x 2x 2x 3x 7
653:653
126:2x 3x 3x 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 2x 3x 3x 5x 7x 7 = 35280
Therefore, the value for common factors is 35280.
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 = 5805535680000/(1x35280)
LCM = 5805535680000/35280
LCM = 164556000
Thus, we can understand that the LCM of 875,120,672,653,126 is 164556000.
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FAQs on LCM of 875, 120, 672, 653, 126
1. What is the LCM of 875, 120, 672, 653, 126?
Answer: LCM of 875, 120, 672, 653, 126 is 164556000.
2. How to calculate the LCM of 875, 120, 672, 653, 126?
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 875, 120, 672, 653, 126.
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}.