Least Common Multiple of 803/88, 217/68, 434/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 803/88, 217/68, 434/232 quickly i.e. 348502/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 803/88, 217/68, 434/232 is 348502/4.

LCM(803/88, 217/68, 434/232) = 348502/4

LCM of 803/88, 217/68, 434/232

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 803/88,217/68,434/232

Given numbers are 803/88,217/68,434/232

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 803,217,434

Least Common Multiple of Numerators i.e. LCM of 803,217,434 is 348502.

GCF of Denominators means GCF of 88,68,232 as per the given fractions.

GCF of 88,68,232 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 803,217,434

LCM of Fractions 803/88,217/68,434/232 is 348502/4

7 803, 217, 434
31 803, 31, 62
803, 1, 2

∴ So the LCM of the given numbers is 7 x 31 x 803 x 1 x 2 = 348502

Least Common Multiple of 803,217,434 with GCF Formula

Least Common Multiple of 803,217,434 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 803,217,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,217,434) = 1

common factors(in case of two or more numbers have common factors) = 217

GCF(803,217,434) x common factors =1 x 217 = 217

LCM(803,217,434) = ( 803 × 217 × 434 ) / 217

LCM(803,217,434) = 75624934 / 217

LCM(803,217,434) = 348502


Lets's calculate GCF of 88,68,232

2 88, 68, 232
2 44, 34, 116
22, 17, 58

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348502/4

Therefore the LCM of Fractions 803/88,217/68,434/232 is 348502/4

Greatest Common Factor of 88,68,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,68,232 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 88,68,232 . The biggest common factor number is the GCF number.
So the greatest common factor 88,68,232 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 803/88, 217/68, 434/232

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 803/88, 217/68, 434/232?

Answer: LCM of Numerators as per given numbers 803/88, 217/68, 434/232 is

LCM of Numerators i.e. for 803,217,434 is 348502

GCF of denominators i.e. for 88,68,232 is 4.

Thus, LCM of Fractions is 348502/4.Finally, LCM of Fractions for 803/88, 217/68, 434/232 is 348502/4.