Least Common Multiple of 882/68, 624/61, 988/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/68, 624/61, 988/271 quickly i.e. 1742832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/68, 624/61, 988/271 is 1742832.

LCM(882/68, 624/61, 988/271) = 1742832

LCM of 882/68, 624/61, 988/271

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 882/68,624/61,988/271

Given numbers are 882/68,624/61,988/271

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 882,624,988

Least Common Multiple of Numerators i.e. LCM of 882,624,988 is 1742832.

GCF of Denominators means GCF of 68,61,271 as per the given fractions.

GCF of 68,61,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,624,988

LCM of Fractions 882/68,624/61,988/271 is 1742832

2 882, 624, 988
2 441, 312, 494
3 441, 156, 247
13 147, 52, 247
147, 4, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 147 x 4 x 19 = 1742832

Least Common Multiple of 882,624,988 with GCF Formula

Least Common Multiple of 882,624,988 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 882,624,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,624,988) = 2

common factors(in case of two or more numbers have common factors) = 156

GCF(882,624,988) x common factors =2 x 156 = 312

LCM(882,624,988) = ( 882 × 624 × 988 ) / 312

LCM(882,624,988) = 543763584 / 312

LCM(882,624,988) = 1742832


Lets's calculate GCF of 68,61,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1742832/1

Therefore the LCM of Fractions 882/68,624/61,988/271 is 1742832

Greatest Common Factor of 68,61,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,61,271 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 68,61,271 . The biggest common factor number is the GCF number.
So the greatest common factor 68,61,271 is 1.


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 882/68, 624/61, 988/271

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 882/68, 624/61, 988/271?

Answer: LCM of Numerators as per given numbers 882/68, 624/61, 988/271 is

LCM of Numerators i.e. for 882,624,988 is 1742832

GCF of denominators i.e. for 68,61,271 is 1.

Thus, LCM of Fractions is 1742832.Finally, LCM of Fractions for 882/68, 624/61, 988/271 is 1742832.