Least Common Multiple of 348/536, 392/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 348/536, 392/950 quickly i.e. 17052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/536, 392/950 is 17052.

LCM(348/536, 392/950) = 17052

LCM of 348/536, 392/950

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 348/536,392/950

Given numbers are 348/536,392/950

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 348,392

Least Common Multiple of Numerators i.e. LCM of 348,392 is 34104.

GCF of Denominators means GCF of 536,950 as per the given fractions.

GCF of 536,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,392

LCM of Fractions 348/536,392/950 is 17052

2 348, 392
2 174, 196
87, 98

∴ So the LCM of the given numbers is 2 x 2 x 87 x 98 = 34104

Least Common Multiple of 348,392 with GCF Formula

Least Common Multiple of 348,392 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 348,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,392) = 4

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

GCF(348,392) x common factors =4 x 1 = 4

LCM(348,392) = ( 348 × 392 ) / 4

LCM(348,392) = 136416 / 4

LCM(348,392) = 34104


Lets's calculate GCF of 536,950

2 536, 950
268, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34104/2

Therefore the LCM of Fractions 348/536,392/950 is 17052

Greatest Common Factor of 536,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,950 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 536,950 . The biggest common factor number is the GCF number.
So the greatest common factor 536,950 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 348/536, 392/950

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 348/536, 392/950?

Answer: LCM of Numerators as per given numbers 348/536, 392/950 is

LCM of Numerators i.e. for 348,392 is 34104

GCF of denominators i.e. for 536,950 is 2.

Thus, LCM of Fractions is 17052.Finally, LCM of Fractions for 348/536, 392/950 is 17052.