LCM of 678, 714, 140, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 714, 140, 294 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 678, 714, 140, 294. So, keep reading to learn more.
Given numbers are 678,714,140,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,714,140,294 is 5647740.
Find LCM of 678,714,140,294 with Prime Factorization
| 2 | 678, 714, 140, 294 |
| 3 | 339, 357, 70, 147 |
| 7 | 113, 119, 70, 49 |
| 113, 17, 10, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 113 x 17 x 10 x 7 = 5647740
Therefore, the lowest common multiple of 678,714,140,294 is 5647740.
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.
678 x 714 x 140 x 294 = 19925226720
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,714,140,294, is 2.
Now, the common factors can be found like this.
678:2x 3x 113
714:2x 3x 7x 17
140:2x 2x 5x 7
294:2x 3x 7x 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 2x 3x 3x 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 19925226720/(2x1764)
LCM = 19925226720/3528
LCM = 5647740
Thus, we can understand that the LCM of 678,714,140,294 is 5647740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 678, 714, 140, 294
1. What is the LCM of 678, 714, 140, 294?
Answer: LCM of 678, 714, 140, 294 is 5647740.
2. How to calculate the LCM of 678, 714, 140, 294?
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 678, 714, 140, 294.
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}.