LCM of 975, 649, 549, 900, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 649, 549, 900, 753 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 975, 649, 549, 900, 753. So, keep reading to learn more.
Given numbers are 975,649,549,900,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,649,549,900,753 is 116261016300.
Find LCM of 975,649,549,900,753 with Prime Factorization
| 3 | 975, 649, 549, 900, 753 |
| 3 | 325, 649, 183, 300, 251 |
| 5 | 325, 649, 61, 100, 251 |
| 5 | 65, 649, 61, 20, 251 |
| 13, 649, 61, 4, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 5 x 13 x 649 x 61 x 4 x 251 = 116261016300
Therefore, the lowest common multiple of 975,649,549,900,753 is 116261016300.
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.
975 x 649 x 549 x 900 x 753 = 235428558007500
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
649 : 1, 11, 59, 649
549 : 1, 3, 9, 61, 183, 549
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
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,649,549,900,753, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
649:11x 59
549:3x 3x 61
900:2x 2x 3x 3x 5x 5
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5 = 2025
Therefore, the value for common factors is 2025.
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 = 235428558007500/(1x2025)
LCM = 235428558007500/2025
LCM = 116261016300
Thus, we can understand that the LCM of 975,649,549,900,753 is 116261016300.
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FAQs on LCM of 975, 649, 549, 900, 753
1. What is the LCM of 975, 649, 549, 900, 753?
Answer: LCM of 975, 649, 549, 900, 753 is 116261016300.
2. How to calculate the LCM of 975, 649, 549, 900, 753?
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 975, 649, 549, 900, 753.
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}.