Least Common Multiple of 174/957, 812/837, 315/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/957, 812/837, 315/923 quickly i.e. 36540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/957, 812/837, 315/923 is 36540.

LCM(174/957, 812/837, 315/923) = 36540

LCM of 174/957, 812/837, 315/923

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 174/957,812/837,315/923

Given numbers are 174/957,812/837,315/923

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 174,812,315

Least Common Multiple of Numerators i.e. LCM of 174,812,315 is 36540.

GCF of Denominators means GCF of 957,837,923 as per the given fractions.

GCF of 957,837,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,812,315

LCM of Fractions 174/957,812/837,315/923 is 36540

2 174, 812, 315
3 87, 406, 315
7 29, 406, 105
29 29, 58, 15
1, 2, 15

∴ So the LCM of the given numbers is 2 x 3 x 7 x 29 x 1 x 2 x 15 = 36540

Least Common Multiple of 174,812,315 with GCF Formula

Least Common Multiple of 174,812,315 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 174,812,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,812,315) = 1

common factors(in case of two or more numbers have common factors) = 1218

GCF(174,812,315) x common factors =1 x 1218 = 1218

LCM(174,812,315) = ( 174 × 812 × 315 ) / 1218

LCM(174,812,315) = 44505720 / 1218

LCM(174,812,315) = 36540


Lets's calculate GCF of 957,837,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36540/1

Therefore the LCM of Fractions 174/957,812/837,315/923 is 36540

Greatest Common Factor of 957,837,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,837,923 By Matching Biggest Common Factor Method

Factors of 957

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

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

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 957,837,923 . The biggest common factor number is the GCF number.
So the greatest common factor 957,837,923 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 174/957, 812/837, 315/923

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 174/957, 812/837, 315/923?

Answer: LCM of Numerators as per given numbers 174/957, 812/837, 315/923 is

LCM of Numerators i.e. for 174,812,315 is 36540

GCF of denominators i.e. for 957,837,923 is 1.

Thus, LCM of Fractions is 36540.Finally, LCM of Fractions for 174/957, 812/837, 315/923 is 36540.