Least Common Multiple of 23/50, 434/19, 707/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/50, 434/19, 707/153 quickly i.e. 1008182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/50, 434/19, 707/153 is 1008182.

LCM(23/50, 434/19, 707/153) = 1008182

LCM of 23/50, 434/19, 707/153

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 23/50,434/19,707/153

Given numbers are 23/50,434/19,707/153

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 23,434,707

Least Common Multiple of Numerators i.e. LCM of 23,434,707 is 1008182.

GCF of Denominators means GCF of 50,19,153 as per the given fractions.

GCF of 50,19,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,434,707

LCM of Fractions 23/50,434/19,707/153 is 1008182

7 23, 434, 707
23, 62, 101

∴ So the LCM of the given numbers is 7 x 23 x 62 x 101 = 1008182

Least Common Multiple of 23,434,707 with GCF Formula

Least Common Multiple of 23,434,707 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 23,434,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,434,707) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(23,434,707) x common factors =1 x 7 = 7

LCM(23,434,707) = ( 23 × 434 × 707 ) / 7

LCM(23,434,707) = 7057274 / 7

LCM(23,434,707) = 1008182


Lets's calculate GCF of 50,19,153

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008182/1

Therefore the LCM of Fractions 23/50,434/19,707/153 is 1008182

Greatest Common Factor of 50,19,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,19,153 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 50,19,153 . The biggest common factor number is the GCF number.
So the greatest common factor 50,19,153 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/50, 434/19, 707/153

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 23/50, 434/19, 707/153?

Answer: LCM of Numerators as per given numbers 23/50, 434/19, 707/153 is

LCM of Numerators i.e. for 23,434,707 is 1008182

GCF of denominators i.e. for 50,19,153 is 1.

Thus, LCM of Fractions is 1008182.Finally, LCM of Fractions for 23/50, 434/19, 707/153 is 1008182.