LCM of 872, 140, 971, 602, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 140, 971, 602, 334 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 872, 140, 971, 602, 334. So, keep reading to learn more.
Given numbers are 872,140,971,602,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,140,971,602,334 is 212808360520.
Find LCM of 872,140,971,602,334 with Prime Factorization
| 2 | 872, 140, 971, 602, 334 |
| 2 | 436, 70, 971, 301, 167 |
| 7 | 218, 35, 971, 301, 167 |
| 218, 5, 971, 43, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 218 x 5 x 971 x 43 x 167 = 212808360520
Therefore, the lowest common multiple of 872,140,971,602,334 is 212808360520.
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.
872 x 140 x 971 x 602 x 334 = 23834536378240
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
971 : 1, 971
602 : 1, 2, 7, 14, 43, 86, 301, 602
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,140,971,602,334, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
140:2x 2x 5x 7
971:971
602:2x 7x 43
334:2x 167
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 7 = 112
Therefore, the value for common factors is 112.
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 = 23834536378240/(1x112)
LCM = 23834536378240/112
LCM = 212808360520
Thus, we can understand that the LCM of 872,140,971,602,334 is 212808360520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 872, 140, 971, 602, 334
1. What is the LCM of 872, 140, 971, 602, 334?
Answer: LCM of 872, 140, 971, 602, 334 is 212808360520.
2. How to calculate the LCM of 872, 140, 971, 602, 334?
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 872, 140, 971, 602, 334.
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}.