Least Common Multiple of 23/952, 32/158, 978/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/952, 32/158, 978/312 quickly i.e. 179952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/952, 32/158, 978/312 is 179952.

LCM(23/952, 32/158, 978/312) = 179952

LCM of 23/952, 32/158, 978/312

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 23/952,32/158,978/312

Given numbers are 23/952,32/158,978/312

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 23,32,978

Least Common Multiple of Numerators i.e. LCM of 23,32,978 is 359904.

GCF of Denominators means GCF of 952,158,312 as per the given fractions.

GCF of 952,158,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,32,978

LCM of Fractions 23/952,32/158,978/312 is 179952

2 23, 32, 978
23, 16, 489

∴ So the LCM of the given numbers is 2 x 23 x 16 x 489 = 359904

Least Common Multiple of 23,32,978 with GCF Formula

Least Common Multiple of 23,32,978 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 23,32,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,32,978) = 1

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

GCF(23,32,978) x common factors =1 x 2 = 2

LCM(23,32,978) = ( 23 × 32 × 978 ) / 2

LCM(23,32,978) = 719808 / 2

LCM(23,32,978) = 359904


Lets's calculate GCF of 952,158,312

2 952, 158, 312
476, 79, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359904/2

Therefore the LCM of Fractions 23/952,32/158,978/312 is 179952

Greatest Common Factor of 952,158,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,158,312 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 952,158,312 . The biggest common factor number is the GCF number.
So the greatest common factor 952,158,312 is 2.


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 23/952, 32/158, 978/312

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 23/952, 32/158, 978/312?

Answer: LCM of Numerators as per given numbers 23/952, 32/158, 978/312 is

LCM of Numerators i.e. for 23,32,978 is 359904

GCF of denominators i.e. for 952,158,312 is 2.

Thus, LCM of Fractions is 179952.Finally, LCM of Fractions for 23/952, 32/158, 978/312 is 179952.