Least Common Multiple of 43/92, 26/94, 55/40, 99/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/92, 26/94, 55/40, 99/228 quickly i.e. 276705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/92, 26/94, 55/40, 99/228 is 276705.

LCM(43/92, 26/94, 55/40, 99/228) = 276705

LCM of 43/92, 26/94, 55/40, 99/228

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 43/92,26/94,55/40,99/228

Given numbers are 43/92,26/94,55/40,99/228

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 43,26,55,99

Least Common Multiple of Numerators i.e. LCM of 43,26,55,99 is 553410.

GCF of Denominators means GCF of 92,94,40,228 as per the given fractions.

GCF of 92,94,40,228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,26,55,99

LCM of Fractions 43/92,26/94,55/40,99/228 is 276705

11 43, 26, 55, 99
43, 26, 5, 9

∴ So the LCM of the given numbers is 11 x 43 x 26 x 5 x 9 = 553410

Least Common Multiple of 43,26,55,99 with GCF Formula

Least Common Multiple of 43,26,55,99 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 43,26,55,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,26,55,99) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(43,26,55,99) x common factors =1 x 11 = 11

LCM(43,26,55,99) = ( 43 × 26 × 55 × 99 ) / 11

LCM(43,26,55,99) = 6087510 / 11

LCM(43,26,55,99) = 553410


Lets's calculate GCF of 92,94,40,228

2 92, 94, 40, 228
46, 47, 20, 114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553410/2

Therefore the LCM of Fractions 43/92,26/94,55/40,99/228 is 276705

Greatest Common Factor of 92,94,40,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,94,40,228 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 92,94,40,228 . The biggest common factor number is the GCF number.
So the greatest common factor 92,94,40,228 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 43/92, 26/94, 55/40, 99/228

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 43/92, 26/94, 55/40, 99/228?

Answer: LCM of Numerators as per given numbers 43/92, 26/94, 55/40, 99/228 is

LCM of Numerators i.e. for 43,26,55,99 is 553410

GCF of denominators i.e. for 92,94,40,228 is 2.

Thus, LCM of Fractions is 276705.Finally, LCM of Fractions for 43/92, 26/94, 55/40, 99/228 is 276705.