Least Common Multiple of 496/300, 909/798, 465/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/300, 909/798, 465/770 quickly i.e. 1127160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/300, 909/798, 465/770 is 1127160.

LCM(496/300, 909/798, 465/770) = 1127160

LCM of 496/300, 909/798, 465/770

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 496/300,909/798,465/770

Given numbers are 496/300,909/798,465/770

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 496,909,465

Least Common Multiple of Numerators i.e. LCM of 496,909,465 is 2254320.

GCF of Denominators means GCF of 300,798,770 as per the given fractions.

GCF of 300,798,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,909,465

LCM of Fractions 496/300,909/798,465/770 is 1127160

3 496, 909, 465
31 496, 303, 155
16, 303, 5

∴ So the LCM of the given numbers is 3 x 31 x 16 x 303 x 5 = 2254320

Least Common Multiple of 496,909,465 with GCF Formula

Least Common Multiple of 496,909,465 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 496,909,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,909,465) = 1

common factors(in case of two or more numbers have common factors) = 93

GCF(496,909,465) x common factors =1 x 93 = 93

LCM(496,909,465) = ( 496 × 909 × 465 ) / 93

LCM(496,909,465) = 209651760 / 93

LCM(496,909,465) = 2254320


Lets's calculate GCF of 300,798,770

2 300, 798, 770
150, 399, 385

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2254320/2

Therefore the LCM of Fractions 496/300,909/798,465/770 is 1127160

Greatest Common Factor of 300,798,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,798,770 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 300,798,770 . The biggest common factor number is the GCF number.
So the greatest common factor 300,798,770 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 496/300, 909/798, 465/770

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 496/300, 909/798, 465/770?

Answer: LCM of Numerators as per given numbers 496/300, 909/798, 465/770 is

LCM of Numerators i.e. for 496,909,465 is 2254320

GCF of denominators i.e. for 300,798,770 is 2.

Thus, LCM of Fractions is 1127160.Finally, LCM of Fractions for 496/300, 909/798, 465/770 is 1127160.