Least Common Multiple of 88/84, 110/92, 318/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/84, 110/92, 318/988 quickly i.e. 17490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/84, 110/92, 318/988 is 17490.

LCM(88/84, 110/92, 318/988) = 17490

LCM of 88/84, 110/92, 318/988

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 88/84,110/92,318/988

Given numbers are 88/84,110/92,318/988

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 88,110,318

Least Common Multiple of Numerators i.e. LCM of 88,110,318 is 69960.

GCF of Denominators means GCF of 84,92,988 as per the given fractions.

GCF of 84,92,988 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,110,318

LCM of Fractions 88/84,110/92,318/988 is 17490

2 88, 110, 318
11 44, 55, 159
4, 5, 159

∴ So the LCM of the given numbers is 2 x 11 x 4 x 5 x 159 = 69960

Least Common Multiple of 88,110,318 with GCF Formula

Least Common Multiple of 88,110,318 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 88,110,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,110,318) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(88,110,318) x common factors =2 x 22 = 44

LCM(88,110,318) = ( 88 × 110 × 318 ) / 44

LCM(88,110,318) = 3078240 / 44

LCM(88,110,318) = 69960


Lets's calculate GCF of 84,92,988

2 84, 92, 988
2 42, 46, 494
21, 23, 247

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69960/4

Therefore the LCM of Fractions 88/84,110/92,318/988 is 17490

Greatest Common Factor of 84,92,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,92,988 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 92

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

1,2,4,23,46,92

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 84,92,988 . The biggest common factor number is the GCF number.
So the greatest common factor 84,92,988 is 4.


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 88/84, 110/92, 318/988

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 88/84, 110/92, 318/988?

Answer: LCM of Numerators as per given numbers 88/84, 110/92, 318/988 is

LCM of Numerators i.e. for 88,110,318 is 69960

GCF of denominators i.e. for 84,92,988 is 4.

Thus, LCM of Fractions is 17490.Finally, LCM of Fractions for 88/84, 110/92, 318/988 is 17490.