Least Common Multiple of 1088/87, 1554/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1088/87, 1554/354 quickly i.e. 281792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1088/87, 1554/354 is 281792.

LCM(1088/87, 1554/354) = 281792

LCM of 1088/87, 1554/354

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 1088/87,1554/354

Given numbers are 1088/87,1554/354

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 1088,1554

Least Common Multiple of Numerators i.e. LCM of 1088,1554 is 845376.

GCF of Denominators means GCF of 87,354 as per the given fractions.

GCF of 87,354 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1088,1554

LCM of Fractions 1088/87,1554/354 is 281792

2 1088, 1554
544, 777

∴ So the LCM of the given numbers is 2 x 544 x 777 = 845376

Least Common Multiple of 1088,1554 with GCF Formula

Least Common Multiple of 1088,1554 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 1088,1554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1088,1554) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1088,1554) x common factors =2 x 1 = 2

LCM(1088,1554) = ( 1088 × 1554 ) / 2

LCM(1088,1554) = 1690752 / 2

LCM(1088,1554) = 845376


Lets's calculate GCF of 87,354

3 87, 354
29, 118

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 845376/3

Therefore the LCM of Fractions 1088/87,1554/354 is 281792

Greatest Common Factor of 87,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,354 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 87,354 . The biggest common factor number is the GCF number.
So the greatest common factor 87,354 is 3.


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 1088/87, 1554/354

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 1088/87, 1554/354?

Answer: LCM of Numerators as per given numbers 1088/87, 1554/354 is

LCM of Numerators i.e. for 1088,1554 is 845376

GCF of denominators i.e. for 87,354 is 3.

Thus, LCM of Fractions is 281792.Finally, LCM of Fractions for 1088/87, 1554/354 is 281792.