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LCM of 760, 943, 334, 695, 428

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


Find the LCM of 760, 943, 334, 695, 428 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, 943, 334, 695, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,943,334,695,428

Given numbers are 760,943,334,695,428

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

The LCM of 760,943,334,695,428 is 1780083333880.

Find LCM of 760,943,334,695,428 with Prime Factorization


2 760, 943, 334, 695, 428
2 380, 943, 167, 695, 214
5 190, 943, 167, 695, 107
38, 943, 167, 139, 107

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

2 x 2 x 5 x 38 x 943 x 167 x 139 x 107 = 1780083333880

Therefore, the lowest common multiple of 760,943,334,695,428 is 1780083333880.

LCM Formula to Find Lowest Common Multiple of 760,943,334,695,428

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 943 x 334 x 695 x 428 = 71203333355200

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

943 : 1, 23, 41, 943

334 : 1, 2, 167, 334

695 : 1, 5, 139, 695

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,943,334,695,428, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

943:23x 41

334:2x 167

695:5x 139

428:2x 2x 107

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 = 71203333355200/(1x40)

LCM = 71203333355200/40

LCM = 1780083333880

Thus, we can understand that the LCM of 760,943,334,695,428 is 1780083333880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 943, 334, 695, 428

1. What is the LCM of 760, 943, 334, 695, 428?

Answer: LCM of 760, 943, 334, 695, 428 is 1780083333880.

2. How to calculate the LCM of 760, 943, 334, 695, 428?

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, 943, 334, 695, 428.

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}.