Find the LCM of 210, 314, 118, 766, 670 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 210, 314, 118, 766, 670. So, keep reading to learn more.
Given numbers are 210,314,118,766,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,314,118,766,670 is 49916547030.
Find LCM of 210,314,118,766,670 with Prime Factorization
2 | 210, 314, 118, 766, 670 |
5 | 105, 157, 59, 383, 335 |
21, 157, 59, 383, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 21 x 157 x 59 x 383 x 67 = 49916547030
Therefore, the lowest common multiple of 210,314,118,766,670 is 49916547030.
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.
210 x 314 x 118 x 766 x 670 = 3993323762400
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
314 : 1, 2, 157, 314
118 : 1, 2, 59, 118
766 : 1, 2, 383, 766
670 : 1, 2, 5, 10, 67, 134, 335, 670
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,314,118,766,670, is 2.
Now, the common factors can be found like this.
210:2x 3x 5x 7
314:2x 157
118:2x 59
766:2x 383
670:2x 5x 67
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 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 3993323762400/(2x40)
LCM = 3993323762400/80
LCM = 49916547030
Thus, we can understand that the LCM of 210,314,118,766,670 is 49916547030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 314, 118, 766, 670?
Answer: LCM of 210, 314, 118, 766, 670 is 49916547030.
2. How to calculate the LCM of 210, 314, 118, 766, 670?
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 210, 314, 118, 766, 670.
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}.