LCM of 357, 467, 136, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 467, 136, 906 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 357, 467, 136, 906. So, keep reading to learn more.
Given numbers are 357,467,136,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,467,136,906 is 201396552.
Find LCM of 357,467,136,906 with Prime Factorization
| 2 | 357, 467, 136, 906 |
| 3 | 357, 467, 68, 453 |
| 17 | 119, 467, 68, 151 |
| 7, 467, 4, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 7 x 467 x 4 x 151 = 201396552
Therefore, the lowest common multiple of 357,467,136,906 is 201396552.
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.
357 x 467 x 136 x 906 = 20542448304
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
467 : 1, 467
136 : 1, 2, 4, 8, 17, 34, 68, 136
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,467,136,906, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
467:467
136:2x 2x 2x 17
906:2x 3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 20542448304/(1x102)
LCM = 20542448304/102
LCM = 201396552
Thus, we can understand that the LCM of 357,467,136,906 is 201396552.
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FAQs on LCM of 357, 467, 136, 906
1. What is the LCM of 357, 467, 136, 906?
Answer: LCM of 357, 467, 136, 906 is 201396552.
2. How to calculate the LCM of 357, 467, 136, 906?
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 357, 467, 136, 906.
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}.