Least Common Multiple of 490/70, 911/82, 333/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/70, 911/82, 333/245 quickly i.e. 148647870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/70, 911/82, 333/245 is 148647870.

LCM(490/70, 911/82, 333/245) = 148647870

LCM of 490/70, 911/82, 333/245

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 490/70,911/82,333/245

Given numbers are 490/70,911/82,333/245

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 490,911,333

Least Common Multiple of Numerators i.e. LCM of 490,911,333 is 148647870.

GCF of Denominators means GCF of 70,82,245 as per the given fractions.

GCF of 70,82,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,911,333

LCM of Fractions 490/70,911/82,333/245 is 148647870

Given numbers has no common factors except 1. So, there LCM is their product i.e 148647870

Least Common Multiple of 490,911,333 with GCF Formula

Least Common Multiple of 490,911,333 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 490,911,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,911,333) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(490,911,333) x common factors =1 x 1 = 1

LCM(490,911,333) = ( 490 × 911 × 333 ) / 1

LCM(490,911,333) = 148647870 / 1

LCM(490,911,333) = 148647870


Lets's calculate GCF of 70,82,245

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148647870/1

Therefore the LCM of Fractions 490/70,911/82,333/245 is 148647870

Greatest Common Factor of 70,82,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,82,245 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 70,82,245 . The biggest common factor number is the GCF number.
So the greatest common factor 70,82,245 is 1.


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 490/70, 911/82, 333/245

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 490/70, 911/82, 333/245?

Answer: LCM of Numerators as per given numbers 490/70, 911/82, 333/245 is

LCM of Numerators i.e. for 490,911,333 is 148647870

GCF of denominators i.e. for 70,82,245 is 1.

Thus, LCM of Fractions is 148647870.Finally, LCM of Fractions for 490/70, 911/82, 333/245 is 148647870.