Least Common Multiple of 602/42, 250/51, 234/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 602/42, 250/51, 234/99 quickly i.e. 2934750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 602/42, 250/51, 234/99 is 2934750.

LCM(602/42, 250/51, 234/99) = 2934750

LCM of 602/42, 250/51, 234/99

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 602/42,250/51,234/99

Given numbers are 602/42,250/51,234/99

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 602,250,234

Least Common Multiple of Numerators i.e. LCM of 602,250,234 is 8804250.

GCF of Denominators means GCF of 42,51,99 as per the given fractions.

GCF of 42,51,99 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 602,250,234

LCM of Fractions 602/42,250/51,234/99 is 2934750

2 602, 250, 234
301, 125, 117

∴ So the LCM of the given numbers is 2 x 301 x 125 x 117 = 8804250

Least Common Multiple of 602,250,234 with GCF Formula

Least Common Multiple of 602,250,234 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 602,250,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,250,234) = 2

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

GCF(602,250,234) x common factors =2 x 2 = 4

LCM(602,250,234) = ( 602 × 250 × 234 ) / 4

LCM(602,250,234) = 35217000 / 4

LCM(602,250,234) = 8804250


Lets's calculate GCF of 42,51,99

3 42, 51, 99
14, 17, 33

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8804250/3

Therefore the LCM of Fractions 602/42,250/51,234/99 is 2934750

Greatest Common Factor of 42,51,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,51,99 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 99

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

1,3,9,11,33,99

Greatest Common Factor

We found the factors 42,51,99 . The biggest common factor number is the GCF number.
So the greatest common factor 42,51,99 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 602/42, 250/51, 234/99

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 602/42, 250/51, 234/99?

Answer: LCM of Numerators as per given numbers 602/42, 250/51, 234/99 is

LCM of Numerators i.e. for 602,250,234 is 8804250

GCF of denominators i.e. for 42,51,99 is 3.

Thus, LCM of Fractions is 2934750.Finally, LCM of Fractions for 602/42, 250/51, 234/99 is 2934750.