Least Common Multiple of 948/52, 496/36, 232/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 948/52, 496/36, 232/194 quickly i.e. 1704504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 948/52, 496/36, 232/194 is 1704504.

LCM(948/52, 496/36, 232/194) = 1704504

LCM of 948/52, 496/36, 232/194

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 948/52,496/36,232/194

Given numbers are 948/52,496/36,232/194

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 948,496,232

Least Common Multiple of Numerators i.e. LCM of 948,496,232 is 3409008.

GCF of Denominators means GCF of 52,36,194 as per the given fractions.

GCF of 52,36,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 948,496,232

LCM of Fractions 948/52,496/36,232/194 is 1704504

2 948, 496, 232
2 474, 248, 116
2 237, 124, 58
237, 62, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 237 x 62 x 29 = 3409008

Least Common Multiple of 948,496,232 with GCF Formula

Least Common Multiple of 948,496,232 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 948,496,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,496,232) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(948,496,232) x common factors =4 x 8 = 32

LCM(948,496,232) = ( 948 × 496 × 232 ) / 32

LCM(948,496,232) = 109088256 / 32

LCM(948,496,232) = 3409008


Lets's calculate GCF of 52,36,194

2 52, 36, 194
26, 18, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3409008/2

Therefore the LCM of Fractions 948/52,496/36,232/194 is 1704504

Greatest Common Factor of 52,36,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,36,194 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 52,36,194 . The biggest common factor number is the GCF number.
So the greatest common factor 52,36,194 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 948/52, 496/36, 232/194

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 948/52, 496/36, 232/194?

Answer: LCM of Numerators as per given numbers 948/52, 496/36, 232/194 is

LCM of Numerators i.e. for 948,496,232 is 3409008

GCF of denominators i.e. for 52,36,194 is 2.

Thus, LCM of Fractions is 1704504.Finally, LCM of Fractions for 948/52, 496/36, 232/194 is 1704504.