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LCM of 735, 510, 717, 670

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


Find the LCM of 735, 510, 717, 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 735, 510, 717, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,510,717,670

Given numbers are 735,510,717,670

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

The LCM of 735,510,717,670 is 400164870.

Find LCM of 735,510,717,670 with Prime Factorization


2 735, 510, 717, 670
3 735, 255, 717, 335
5 245, 85, 239, 335
49, 17, 239, 67

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

2 x 3 x 5 x 49 x 17 x 239 x 67 = 400164870

Therefore, the lowest common multiple of 735,510,717,670 is 400164870.

LCM Formula to Find Lowest Common Multiple of 735,510,717,670

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.

735 x 510 x 717 x 670 = 180074191500

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

717 : 1, 3, 239, 717

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,510,717,670, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

510:2x 3x 5x 17

717:3x 239

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 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 180074191500/(1x450)

LCM = 180074191500/450

LCM = 400164870

Thus, we can understand that the LCM of 735,510,717,670 is 400164870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 510, 717, 670

1. What is the LCM of 735, 510, 717, 670?

Answer: LCM of 735, 510, 717, 670 is 400164870.

2. How to calculate the LCM of 735, 510, 717, 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 735, 510, 717, 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}.