Least Common Multiple of 92/10, 77/92, 84/14, 99/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/10, 77/92, 84/14, 99/227 quickly i.e. 63756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/10, 77/92, 84/14, 99/227 is 63756.

LCM(92/10, 77/92, 84/14, 99/227) = 63756

LCM of 92/10, 77/92, 84/14, 99/227

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 92/10,77/92,84/14,99/227

Given numbers are 92/10,77/92,84/14,99/227

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 92,77,84,99

Least Common Multiple of Numerators i.e. LCM of 92,77,84,99 is 63756.

GCF of Denominators means GCF of 10,92,14,227 as per the given fractions.

GCF of 10,92,14,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,77,84,99

LCM of Fractions 92/10,77/92,84/14,99/227 is 63756

2 92, 77, 84, 99
2 46, 77, 42, 99
3 23, 77, 21, 99
7 23, 77, 7, 33
11 23, 11, 1, 33
23, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 23 x 1 x 1 x 3 = 63756

Least Common Multiple of 92,77,84,99 with GCF Formula

Least Common Multiple of 92,77,84,99 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 92,77,84,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,77,84,99) = 1

common factors(in case of two or more numbers have common factors) = 924

GCF(92,77,84,99) x common factors =1 x 924 = 924

LCM(92,77,84,99) = ( 92 × 77 × 84 × 99 ) / 924

LCM(92,77,84,99) = 58910544 / 924

LCM(92,77,84,99) = 63756


Lets's calculate GCF of 10,92,14,227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63756/1

Therefore the LCM of Fractions 92/10,77/92,84/14,99/227 is 63756

Greatest Common Factor of 10,92,14,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,92,14,227 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 92

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

1,2,4,23,46,92

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 10,92,14,227 . The biggest common factor number is the GCF number.
So the greatest common factor 10,92,14,227 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/10, 77/92, 84/14, 99/227

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 92/10, 77/92, 84/14, 99/227?

Answer: LCM of Numerators as per given numbers 92/10, 77/92, 84/14, 99/227 is

LCM of Numerators i.e. for 92,77,84,99 is 63756

GCF of denominators i.e. for 10,92,14,227 is 1.

Thus, LCM of Fractions is 63756.Finally, LCM of Fractions for 92/10, 77/92, 84/14, 99/227 is 63756.