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LCM of 950, 714, 722, 438

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 950, 714, 722, 438 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 950, 714, 722, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 950,714,722,438

Given numbers are 950,714,722,438

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 950,714,722,438 is 470401050.

Find LCM of 950,714,722,438 with Prime Factorization


2 950, 714, 722, 438
3 475, 357, 361, 219
19 475, 119, 361, 73
25, 119, 19, 73

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 19 x 25 x 119 x 19 x 73 = 470401050

Therefore, the lowest common multiple of 950,714,722,438 is 470401050.

LCM Formula to Find Lowest Common Multiple of 950,714,722,438

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.

950 x 714 x 722 x 438 = 214502878800

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.

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

722 : 1, 2, 19, 38, 361, 722

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,714,722,438, is 2.

Now, the common factors can be found like this.

950:2x 5x 5x 19

714:2x 3x 7x 17

722:2x 19x 19

438:2x 3x 73

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 19 = 228

Therefore, the value for common factors is 228.

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 = 214502878800/(2x228)

LCM = 214502878800/456

LCM = 470401050

Thus, we can understand that the LCM of 950,714,722,438 is 470401050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 950, 714, 722, 438

1. What is the LCM of 950, 714, 722, 438?

Answer: LCM of 950, 714, 722, 438 is 470401050.

2. How to calculate the LCM of 950, 714, 722, 438?

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 950, 714, 722, 438.

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}.