LCM of 760, 906, 725, 497, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 906, 725, 497, 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 760, 906, 725, 497, 378. So, keep reading to learn more.
Given numbers are 760,906,725,497,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,906,725,497,378 is 223294843800.
Find LCM of 760,906,725,497,378 with Prime Factorization
| 2 | 760, 906, 725, 497, 378 |
| 3 | 380, 453, 725, 497, 189 |
| 5 | 380, 151, 725, 497, 63 |
| 7 | 76, 151, 145, 497, 63 |
| 76, 151, 145, 71, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 76 x 151 x 145 x 71 x 9 = 223294843800
Therefore, the lowest common multiple of 760,906,725,497,378 is 223294843800.
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.
760 x 906 x 725 x 497 x 378 = 93783834396000
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
906 : 1, 2, 3, 6, 151, 302, 453, 906
725 : 1, 5, 25, 29, 145, 725
497 : 1, 7, 71, 497
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 760,906,725,497,378, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
906:2x 3x 151
725:5x 5x 29
497:7x 71
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 93783834396000/(1x420)
LCM = 93783834396000/420
LCM = 223294843800
Thus, we can understand that the LCM of 760,906,725,497,378 is 223294843800.
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FAQs on LCM of 760, 906, 725, 497, 378
1. What is the LCM of 760, 906, 725, 497, 378?
Answer: LCM of 760, 906, 725, 497, 378 is 223294843800.
2. How to calculate the LCM of 760, 906, 725, 497, 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 760, 906, 725, 497, 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}.