LCM of 754, 435, 980, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 435, 980, 847 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 754, 435, 980, 847. So, keep reading to learn more.
Given numbers are 754,435,980,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,435,980,847 is 134113980.
Find LCM of 754,435,980,847 with Prime Factorization
| 2 | 754, 435, 980, 847 |
| 5 | 377, 435, 490, 847 |
| 7 | 377, 87, 98, 847 |
| 29 | 377, 87, 14, 121 |
| 13, 3, 14, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 29 x 13 x 3 x 14 x 121 = 134113980
Therefore, the lowest common multiple of 754,435,980,847 is 134113980.
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.
754 x 435 x 980 x 847 = 272251379400
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
435 : 1, 3, 5, 15, 29, 87, 145, 435
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,435,980,847, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
435:3x 5x 29
980:2x 2x 5x 7x 7
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 29 = 2030
Therefore, the value for common factors is 2030.
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 = 272251379400/(1x2030)
LCM = 272251379400/2030
LCM = 134113980
Thus, we can understand that the LCM of 754,435,980,847 is 134113980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 754, 435, 980, 847
1. What is the LCM of 754, 435, 980, 847?
Answer: LCM of 754, 435, 980, 847 is 134113980.
2. How to calculate the LCM of 754, 435, 980, 847?
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 754, 435, 980, 847.
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}.