Find the LCM of 267, 785, 739, 942, 175 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 267, 785, 739, 942, 175. So, keep reading to learn more.
Given numbers are 267,785,739,942,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,785,739,942,175 is 10842349350.
Find LCM of 267,785,739,942,175 with Prime Factorization
3 | 267, 785, 739, 942, 175 |
5 | 89, 785, 739, 314, 175 |
157 | 89, 157, 739, 314, 35 |
89, 1, 739, 2, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 157 x 89 x 1 x 739 x 2 x 35 = 10842349350
Therefore, the lowest common multiple of 267,785,739,942,175 is 10842349350.
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.
267 x 785 x 739 x 942 x 175 = 25533732719250
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.
267 : 1, 3, 89, 267
785 : 1, 5, 157, 785
739 : 1, 739
942 : 1, 2, 3, 6, 157, 314, 471, 942
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,785,739,942,175, is 1.
Now, the common factors can be found like this.
267:3x 89
785:5x 157
739:739
942:2x 3x 157
175:5x 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.
3x 5x 157 = 2355
Therefore, the value for common factors is 2355.
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 = 25533732719250/(1x2355)
LCM = 25533732719250/2355
LCM = 10842349350
Thus, we can understand that the LCM of 267,785,739,942,175 is 10842349350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 267, 785, 739, 942, 175?
Answer: LCM of 267, 785, 739, 942, 175 is 10842349350.
2. How to calculate the LCM of 267, 785, 739, 942, 175?
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 267, 785, 739, 942, 175.
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}.