Least Common Multiple of 209/494, 705/532, 276/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/494, 705/532, 276/562 quickly i.e. 6777870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/494, 705/532, 276/562 is 6777870.

LCM(209/494, 705/532, 276/562) = 6777870

LCM of 209/494, 705/532, 276/562

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 209/494,705/532,276/562

Given numbers are 209/494,705/532,276/562

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 209,705,276

Least Common Multiple of Numerators i.e. LCM of 209,705,276 is 13555740.

GCF of Denominators means GCF of 494,532,562 as per the given fractions.

GCF of 494,532,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,705,276

LCM of Fractions 209/494,705/532,276/562 is 6777870

3 209, 705, 276
209, 235, 92

∴ So the LCM of the given numbers is 3 x 209 x 235 x 92 = 13555740

Least Common Multiple of 209,705,276 with GCF Formula

Least Common Multiple of 209,705,276 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 209,705,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,705,276) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(209,705,276) x common factors =1 x 3 = 3

LCM(209,705,276) = ( 209 × 705 × 276 ) / 3

LCM(209,705,276) = 40667220 / 3

LCM(209,705,276) = 13555740


Lets's calculate GCF of 494,532,562

2 494, 532, 562
247, 266, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13555740/2

Therefore the LCM of Fractions 209/494,705/532,276/562 is 6777870

Greatest Common Factor of 494,532,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,532,562 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 494,532,562 . The biggest common factor number is the GCF number.
So the greatest common factor 494,532,562 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 209/494, 705/532, 276/562

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 209/494, 705/532, 276/562?

Answer: LCM of Numerators as per given numbers 209/494, 705/532, 276/562 is

LCM of Numerators i.e. for 209,705,276 is 13555740

GCF of denominators i.e. for 494,532,562 is 2.

Thus, LCM of Fractions is 6777870.Finally, LCM of Fractions for 209/494, 705/532, 276/562 is 6777870.