Least Common Multiple of 748, 465, 825

Q: How to Find the LCM of 748, 465, 825 ?

Least Common Multiple of 748, 465, 825 = 1739100 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(748, 465, 825) = 2 x 2 x 3 x 5 x 5 x 11 x 17 x 31 = 1739100.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 748, 465, 825 i.e. 1739100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 748, 465, 825 is 1739100.

LCM(748, 465, 825) = 1739100

LCM of 748, 465, 825

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 748, 465, 825 by common division method
Least Common Multiple of 748, 465, 825 with GCF Formula

Least Common Multiple of 748,465,825

Least Common Multiple (LCM) of 748,465,825 is 1739100

3	748, 465, 825
5	748, 155, 275
11	748, 31, 55
	68, 31, 5

∴ So the LCM of the given numbers is 3 x 5 x 11 x 68 x 31 x 5 = 1739100

Least Common Multiple of 748,465,825 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 748,465,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,465,825) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(748,465,825) x common factors =1 x 165 = 165

LCM(748,465,825) = ( 748 × 465 × 825 ) / 165

LCM(748,465,825) = 286951500 / 165

LCM(748,465,825) = 1739100

∴ Least Common Multiple of 748,465,825 is 1739100

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 748, 465, 825

1. What is the LCM of 748, 465, 825?

Answer: LCM of 748, 465, 825 is 1739100.

2. What are the Factors of 1739100?

Answer: Factors of 1739100 are . There are integers that are factors of 1739100

3. How to Find the LCM of 748, 465, 825 ?

Least Common Multiple of 748, 465, 825.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(748, 465, 825) = 2 x 2 x 3 x 5 x 5 x 11 x 17 x 31 = 1739100.