Least Common Multiple of 676/562, 7789/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 676/562, 7789/472 quickly i.e. 2632682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/562, 7789/472 is 2632682.

LCM(676/562, 7789/472) = 2632682

LCM of 676/562, 7789/472

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 676/562,7789/472

Given numbers are 676/562,7789/472

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 676,7789

Least Common Multiple of Numerators i.e. LCM of 676,7789 is 5265364.

GCF of Denominators means GCF of 562,472 as per the given fractions.

GCF of 562,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,7789

LCM of Fractions 676/562,7789/472 is 2632682

Given numbers has no common factors except 1. So, there LCM is their product i.e 5265364

Least Common Multiple of 676,7789 with GCF Formula

Least Common Multiple of 676,7789 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 676,7789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,7789) = 1

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

GCF(676,7789) x common factors =1 x 1 = 1

LCM(676,7789) = ( 676 × 7789 ) / 1

LCM(676,7789) = 5265364 / 1

LCM(676,7789) = 5265364


Lets's calculate GCF of 562,472

2 562, 472
281, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5265364/2

Therefore the LCM of Fractions 676/562,7789/472 is 2632682

Greatest Common Factor of 562,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,472 By Matching Biggest Common Factor Method

Factors of 562

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

1,2,281,562

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 562,472 . The biggest common factor number is the GCF number.
So the greatest common factor 562,472 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 676/562, 7789/472

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 676/562, 7789/472?

Answer: LCM of Numerators as per given numbers 676/562, 7789/472 is

LCM of Numerators i.e. for 676,7789 is 5265364

GCF of denominators i.e. for 562,472 is 2.

Thus, LCM of Fractions is 2632682.Finally, LCM of Fractions for 676/562, 7789/472 is 2632682.