Least Common Multiple of 23/717, 45/675, 350/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/717, 45/675, 350/957 quickly i.e. 24150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/717, 45/675, 350/957 is 24150.

LCM(23/717, 45/675, 350/957) = 24150

LCM of 23/717, 45/675, 350/957

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 23/717,45/675,350/957

Given numbers are 23/717,45/675,350/957

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 23,45,350

Least Common Multiple of Numerators i.e. LCM of 23,45,350 is 72450.

GCF of Denominators means GCF of 717,675,957 as per the given fractions.

GCF of 717,675,957 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,45,350

LCM of Fractions 23/717,45/675,350/957 is 24150

5 23, 45, 350
23, 9, 70

∴ So the LCM of the given numbers is 5 x 23 x 9 x 70 = 72450

Least Common Multiple of 23,45,350 with GCF Formula

Least Common Multiple of 23,45,350 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 23,45,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,45,350) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(23,45,350) x common factors =1 x 5 = 5

LCM(23,45,350) = ( 23 × 45 × 350 ) / 5

LCM(23,45,350) = 362250 / 5

LCM(23,45,350) = 72450


Lets's calculate GCF of 717,675,957

3 717, 675, 957
239, 225, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72450/3

Therefore the LCM of Fractions 23/717,45/675,350/957 is 24150

Greatest Common Factor of 717,675,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,675,957 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 717,675,957 . The biggest common factor number is the GCF number.
So the greatest common factor 717,675,957 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/717, 45/675, 350/957

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 23/717, 45/675, 350/957?

Answer: LCM of Numerators as per given numbers 23/717, 45/675, 350/957 is

LCM of Numerators i.e. for 23,45,350 is 72450

GCF of denominators i.e. for 717,675,957 is 3.

Thus, LCM of Fractions is 24150.Finally, LCM of Fractions for 23/717, 45/675, 350/957 is 24150.