Least Common Multiple of 354/99, 700/16, 839/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 354/99, 700/16, 839/775 quickly i.e. 103952100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/99, 700/16, 839/775 is 103952100.

LCM(354/99, 700/16, 839/775) = 103952100

LCM of 354/99, 700/16, 839/775

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 354/99,700/16,839/775

Given numbers are 354/99,700/16,839/775

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 354,700,839

Least Common Multiple of Numerators i.e. LCM of 354,700,839 is 103952100.

GCF of Denominators means GCF of 99,16,775 as per the given fractions.

GCF of 99,16,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,700,839

LCM of Fractions 354/99,700/16,839/775 is 103952100

2 354, 700, 839
177, 350, 839

∴ So the LCM of the given numbers is 2 x 177 x 350 x 839 = 103952100

Least Common Multiple of 354,700,839 with GCF Formula

Least Common Multiple of 354,700,839 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 354,700,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,700,839) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(354,700,839) x common factors =1 x 2 = 2

LCM(354,700,839) = ( 354 × 700 × 839 ) / 2

LCM(354,700,839) = 207904200 / 2

LCM(354,700,839) = 103952100


Lets's calculate GCF of 99,16,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103952100/1

Therefore the LCM of Fractions 354/99,700/16,839/775 is 103952100

Greatest Common Factor of 99,16,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,16,775 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 99,16,775 . The biggest common factor number is the GCF number.
So the greatest common factor 99,16,775 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 354/99, 700/16, 839/775

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 354/99, 700/16, 839/775?

Answer: LCM of Numerators as per given numbers 354/99, 700/16, 839/775 is

LCM of Numerators i.e. for 354,700,839 is 103952100

GCF of denominators i.e. for 99,16,775 is 1.

Thus, LCM of Fractions is 103952100.Finally, LCM of Fractions for 354/99, 700/16, 839/775 is 103952100.