Least Common Multiple of 4235/332, 1148/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4235/332, 1148/320 quickly i.e. 173635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4235/332, 1148/320 is 173635.

LCM(4235/332, 1148/320) = 173635

LCM of 4235/332, 1148/320

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 4235/332,1148/320

Given numbers are 4235/332,1148/320

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 4235,1148

Least Common Multiple of Numerators i.e. LCM of 4235,1148 is 694540.

GCF of Denominators means GCF of 332,320 as per the given fractions.

GCF of 332,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4235,1148

LCM of Fractions 4235/332,1148/320 is 173635

7 4235, 1148
605, 164

∴ So the LCM of the given numbers is 7 x 605 x 164 = 694540

Least Common Multiple of 4235,1148 with GCF Formula

Least Common Multiple of 4235,1148 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 4235,1148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4235,1148) = 7

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

GCF(4235,1148) x common factors =7 x 1 = 7

LCM(4235,1148) = ( 4235 × 1148 ) / 7

LCM(4235,1148) = 4861780 / 7

LCM(4235,1148) = 694540


Lets's calculate GCF of 332,320

2 332, 320
2 166, 160
83, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 694540/4

Therefore the LCM of Fractions 4235/332,1148/320 is 173635

Greatest Common Factor of 332,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,320 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 332,320 . The biggest common factor number is the GCF number.
So the greatest common factor 332,320 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4235/332, 1148/320

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 4235/332, 1148/320?

Answer: LCM of Numerators as per given numbers 4235/332, 1148/320 is

LCM of Numerators i.e. for 4235,1148 is 694540

GCF of denominators i.e. for 332,320 is 4.

Thus, LCM of Fractions is 173635.Finally, LCM of Fractions for 4235/332, 1148/320 is 173635.