LCM of 949, 722, 741, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 722, 741, 210 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 949, 722, 741, 210. So, keep reading to learn more.
Given numbers are 949,722,741,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,722,741,210 is 71943690.
Find LCM of 949,722,741,210 with Prime Factorization
| 2 | 949, 722, 741, 210 |
| 3 | 949, 361, 741, 105 |
| 13 | 949, 361, 247, 35 |
| 19 | 73, 361, 19, 35 |
| 73, 1, 19, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 73 x 1 x 19 x 35 = 71943690
Therefore, the lowest common multiple of 949,722,741,210 is 71943690.
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.
949 x 722 x 741 x 210 = 106620548580
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.
949 : 1, 13, 73, 949
722 : 1, 2, 19, 38, 361, 722
741 : 1, 3, 13, 19, 39, 57, 247, 741
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,722,741,210, is 1.
Now, the common factors can be found like this.
949:13x 73
722:2x 19x 19
741:3x 13x 19
210:2x 3x 5x 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 3x 13x 19 = 1482
Therefore, the value for common factors is 1482.
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 = 106620548580/(1x1482)
LCM = 106620548580/1482
LCM = 71943690
Thus, we can understand that the LCM of 949,722,741,210 is 71943690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 949, 722, 741, 210
1. What is the LCM of 949, 722, 741, 210?
Answer: LCM of 949, 722, 741, 210 is 71943690.
2. How to calculate the LCM of 949, 722, 741, 210?
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 949, 722, 741, 210.
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}.