LCM of 970, 749, 812, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 749, 812, 476 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 970, 749, 812, 476. So, keep reading to learn more.
Given numbers are 970,749,812,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,749,812,476 is 716358580.
Find LCM of 970,749,812,476 with Prime Factorization
| 2 | 970, 749, 812, 476 |
| 2 | 485, 749, 406, 238 |
| 7 | 485, 749, 203, 119 |
| 485, 107, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 485 x 107 x 29 x 17 = 716358580
Therefore, the lowest common multiple of 970,749,812,476 is 716358580.
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.
970 x 749 x 812 x 476 = 280812563360
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
749 : 1, 7, 107, 749
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,749,812,476, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
749:7x 107
812:2x 2x 7x 29
476:2x 2x 7x 17
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 280812563360/(1x392)
LCM = 280812563360/392
LCM = 716358580
Thus, we can understand that the LCM of 970,749,812,476 is 716358580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 970, 749, 812, 476
1. What is the LCM of 970, 749, 812, 476?
Answer: LCM of 970, 749, 812, 476 is 716358580.
2. How to calculate the LCM of 970, 749, 812, 476?
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 970, 749, 812, 476.
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}.