LCM of 672, 715, 506, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 715, 506, 378 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 672, 715, 506, 378. So, keep reading to learn more.
Given numbers are 672,715,506,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,715,506,378 is 99459360.
Find LCM of 672,715,506,378 with Prime Factorization
| 2 | 672, 715, 506, 378 |
| 3 | 336, 715, 253, 189 |
| 7 | 112, 715, 253, 63 |
| 11 | 16, 715, 253, 9 |
| 16, 65, 23, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 16 x 65 x 23 x 9 = 99459360
Therefore, the lowest common multiple of 672,715,506,378 is 99459360.
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.
672 x 715 x 506 x 378 = 91900448640
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
715 : 1, 5, 11, 13, 55, 65, 143, 715
506 : 1, 2, 11, 22, 23, 46, 253, 506
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,715,506,378, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
715:5x 11x 13
506:2x 11x 23
378:2x 3x 3x 3x 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 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 91900448640/(1x924)
LCM = 91900448640/924
LCM = 99459360
Thus, we can understand that the LCM of 672,715,506,378 is 99459360.
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FAQs on LCM of 672, 715, 506, 378
1. What is the LCM of 672, 715, 506, 378?
Answer: LCM of 672, 715, 506, 378 is 99459360.
2. How to calculate the LCM of 672, 715, 506, 378?
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 672, 715, 506, 378.
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}.