Least Common Multiple of 49/807, 38/566, 685/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/807, 38/566, 685/490 quickly i.e. 1275470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/807, 38/566, 685/490 is 1275470.

LCM(49/807, 38/566, 685/490) = 1275470

LCM of 49/807, 38/566, 685/490

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 49/807,38/566,685/490

Given numbers are 49/807,38/566,685/490

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 49,38,685

Least Common Multiple of Numerators i.e. LCM of 49,38,685 is 1275470.

GCF of Denominators means GCF of 807,566,490 as per the given fractions.

GCF of 807,566,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,38,685

LCM of Fractions 49/807,38/566,685/490 is 1275470

Given numbers has no common factors except 1. So, there LCM is their product i.e 1275470

Least Common Multiple of 49,38,685 with GCF Formula

Least Common Multiple of 49,38,685 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 49,38,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,38,685) = 1

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

GCF(49,38,685) x common factors =1 x 1 = 1

LCM(49,38,685) = ( 49 × 38 × 685 ) / 1

LCM(49,38,685) = 1275470 / 1

LCM(49,38,685) = 1275470


Lets's calculate GCF of 807,566,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1275470/1

Therefore the LCM of Fractions 49/807,38/566,685/490 is 1275470

Greatest Common Factor of 807,566,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,566,490 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 807,566,490 . The biggest common factor number is the GCF number.
So the greatest common factor 807,566,490 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/807, 38/566, 685/490

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 49/807, 38/566, 685/490?

Answer: LCM of Numerators as per given numbers 49/807, 38/566, 685/490 is

LCM of Numerators i.e. for 49,38,685 is 1275470

GCF of denominators i.e. for 807,566,490 is 1.

Thus, LCM of Fractions is 1275470.Finally, LCM of Fractions for 49/807, 38/566, 685/490 is 1275470.