LCM of 749, 979, 900, 298, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 979, 900, 298, 852 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 749, 979, 900, 298, 852. So, keep reading to learn more.
Given numbers are 749,979,900,298,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,979,900,298,852 is 6981546518100.
Find LCM of 749,979,900,298,852 with Prime Factorization
| 2 | 749, 979, 900, 298, 852 |
| 2 | 749, 979, 450, 149, 426 |
| 3 | 749, 979, 225, 149, 213 |
| 749, 979, 75, 149, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 749 x 979 x 75 x 149 x 71 = 6981546518100
Therefore, the lowest common multiple of 749,979,900,298,852 is 6981546518100.
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.
749 x 979 x 900 x 298 x 852 = 167557116434400
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.
749 : 1, 7, 107, 749
979 : 1, 11, 89, 979
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
298 : 1, 2, 149, 298
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,979,900,298,852, is 1.
Now, the common factors can be found like this.
749:7x 107
979:11x 89
900:2x 2x 3x 3x 5x 5
298:2x 149
852:2x 2x 3x 71
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 3 = 24
Therefore, the value for common factors is 24.
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 = 167557116434400/(1x24)
LCM = 167557116434400/24
LCM = 6981546518100
Thus, we can understand that the LCM of 749,979,900,298,852 is 6981546518100.
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FAQs on LCM of 749, 979, 900, 298, 852
1. What is the LCM of 749, 979, 900, 298, 852?
Answer: LCM of 749, 979, 900, 298, 852 is 6981546518100.
2. How to calculate the LCM of 749, 979, 900, 298, 852?
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 749, 979, 900, 298, 852.
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}.