Least Common Multiple of 898, 80, 690, 762

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 898, 80, 690, 762 i.e. 314766960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 898, 80, 690, 762 is 314766960.

LCM(898, 80, 690, 762) = 314766960

LCM of 898, 80, 690, 762

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

LCM of:

Least Common Multiple of 898,80,690,762

Least Common Multiple (LCM) of 898,80,690,762 is 314766960

2 898, 80, 690, 762
3 449, 40, 345, 381
5 449, 40, 115, 127
449, 8, 23, 127

∴ So the LCM of the given numbers is 2 x 3 x 5 x 449 x 8 x 23 x 127 = 314766960

Least Common Multiple of 898,80,690,762 with GCF Formula

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 898,80,690,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,80,690,762) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(898,80,690,762) x common factors =2 x 60 = 120

LCM(898,80,690,762) = ( 898 × 80 × 690 × 762 ) / 120

LCM(898,80,690,762) = 37772035200 / 120

LCM(898,80,690,762) = 314766960

∴ Least Common Multiple of 898,80,690,762 is 314766960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 898, 80, 690, 762

1. What is the LCM of 898, 80, 690, 762?

Answer: LCM of 898, 80, 690, 762 is 314766960.

2. What are the Factors of 314766960?

Answer: Factors of 314766960 are . There are integers that are factors of 314766960

3. How to Find the LCM of 898, 80, 690, 762 ?

Least Common Multiple of 898, 80, 690, 762.

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(898, 80, 690, 762) = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 127 x 449 = 314766960.