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 528, 716, 749 i.e. 70789488 smallest integer divisible by all numbers.
Least common multiple (LCM) of 528, 716, 749 is 70789488.
LCM(528, 716, 749) = 70789488
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 528, 716, 749 |
2 | 264, 358, 749 |
132, 179, 749 |
∴ So the LCM of the given numbers is 2 x 2 x 132 x 179 x 749 = 70789488
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 528,716,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,716,749) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(528,716,749) x common factors =1 x 4 = 4
LCM(528,716,749) = ( 528 × 716 × 749 ) / 4
LCM(528,716,749) = 283157952 / 4
LCM(528,716,749) = 70789488
∴ Least Common Multiple of 528,716,749 is 70789488
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 716, 749?
Answer: LCM of 528, 716, 749 is 70789488.
2. What are the Factors of 70789488?
Answer: Factors of 70789488 are . There are integers that are factors of 70789488
3. How to Find the LCM of 528, 716, 749 ?
Least Common Multiple of 528, 716, 749.
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(528, 716, 749) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 107 x 179 = 70789488.