Least Common Multiple of 23/948, 46/155, 851/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/948, 46/155, 851/440 quickly i.e. 1702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/948, 46/155, 851/440 is 1702.

LCM(23/948, 46/155, 851/440) = 1702

LCM of 23/948, 46/155, 851/440

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 23/948,46/155,851/440

Given numbers are 23/948,46/155,851/440

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 23,46,851

Least Common Multiple of Numerators i.e. LCM of 23,46,851 is 1702.

GCF of Denominators means GCF of 948,155,440 as per the given fractions.

GCF of 948,155,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,46,851

LCM of Fractions 23/948,46/155,851/440 is 1702

23 23, 46, 851
1, 2, 37

∴ So the LCM of the given numbers is 23 x 1 x 2 x 37 = 1702

Least Common Multiple of 23,46,851 with GCF Formula

Least Common Multiple of 23,46,851 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 23,46,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,46,851) = 23

common factors(in case of two or more numbers have common factors) = 23

GCF(23,46,851) x common factors =23 x 23 = 529

LCM(23,46,851) = ( 23 × 46 × 851 ) / 529

LCM(23,46,851) = 900358 / 529

LCM(23,46,851) = 1702


Lets's calculate GCF of 948,155,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1702/1

Therefore the LCM of Fractions 23/948,46/155,851/440 is 1702

Greatest Common Factor of 948,155,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,155,440 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 948,155,440 . The biggest common factor number is the GCF number.
So the greatest common factor 948,155,440 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/948, 46/155, 851/440

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 23/948, 46/155, 851/440?

Answer: LCM of Numerators as per given numbers 23/948, 46/155, 851/440 is

LCM of Numerators i.e. for 23,46,851 is 1702

GCF of denominators i.e. for 948,155,440 is 1.

Thus, LCM of Fractions is 1702.Finally, LCM of Fractions for 23/948, 46/155, 851/440 is 1702.