Least Common Multiple of 99/557, 23/279, 785/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/557, 23/279, 785/679 quickly i.e. 1787445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/557, 23/279, 785/679 is 1787445.

LCM(99/557, 23/279, 785/679) = 1787445

LCM of 99/557, 23/279, 785/679

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 99/557,23/279,785/679

Given numbers are 99/557,23/279,785/679

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 99,23,785

Least Common Multiple of Numerators i.e. LCM of 99,23,785 is 1787445.

GCF of Denominators means GCF of 557,279,679 as per the given fractions.

GCF of 557,279,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,23,785

LCM of Fractions 99/557,23/279,785/679 is 1787445

Given numbers has no common factors except 1. So, there LCM is their product i.e 1787445

Least Common Multiple of 99,23,785 with GCF Formula

Least Common Multiple of 99,23,785 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 99,23,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,23,785) = 1

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

GCF(99,23,785) x common factors =1 x 1 = 1

LCM(99,23,785) = ( 99 × 23 × 785 ) / 1

LCM(99,23,785) = 1787445 / 1

LCM(99,23,785) = 1787445


Lets's calculate GCF of 557,279,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1787445/1

Therefore the LCM of Fractions 99/557,23/279,785/679 is 1787445

Greatest Common Factor of 557,279,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,279,679 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 557,279,679 . The biggest common factor number is the GCF number.
So the greatest common factor 557,279,679 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/557, 23/279, 785/679

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 99/557, 23/279, 785/679?

Answer: LCM of Numerators as per given numbers 99/557, 23/279, 785/679 is

LCM of Numerators i.e. for 99,23,785 is 1787445

GCF of denominators i.e. for 557,279,679 is 1.

Thus, LCM of Fractions is 1787445.Finally, LCM of Fractions for 99/557, 23/279, 785/679 is 1787445.