Least Common Multiple of 820/987, 3218/2177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/987, 3218/2177 quickly i.e. 1319380/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/987, 3218/2177 is 1319380/7.

LCM(820/987, 3218/2177) = 1319380/7

LCM of 820/987, 3218/2177

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 820/987,3218/2177

Given numbers are 820/987,3218/2177

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 820,3218

Least Common Multiple of Numerators i.e. LCM of 820,3218 is 1319380.

GCF of Denominators means GCF of 987,2177 as per the given fractions.

GCF of 987,2177 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,3218

LCM of Fractions 820/987,3218/2177 is 1319380/7

2 820, 3218
410, 1609

∴ So the LCM of the given numbers is 2 x 410 x 1609 = 1319380

Least Common Multiple of 820,3218 with GCF Formula

Least Common Multiple of 820,3218 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 820,3218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,3218) = 2

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

GCF(820,3218) x common factors =2 x 1 = 2

LCM(820,3218) = ( 820 × 3218 ) / 2

LCM(820,3218) = 2638760 / 2

LCM(820,3218) = 1319380


Lets's calculate GCF of 987,2177

7 987, 2177
141, 311

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1319380/7

Therefore the LCM of Fractions 820/987,3218/2177 is 1319380/7

Greatest Common Factor of 987,2177 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,2177 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 2177

List of positive integer factors of 2177 that divides 2177 without a remainder.

1,7,311,2177

Greatest Common Factor

We found the factors 987,2177 . The biggest common factor number is the GCF number.
So the greatest common factor 987,2177 is 7.


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 820/987, 3218/2177

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 820/987, 3218/2177?

Answer: LCM of Numerators as per given numbers 820/987, 3218/2177 is

LCM of Numerators i.e. for 820,3218 is 1319380

GCF of denominators i.e. for 987,2177 is 7.

Thus, LCM of Fractions is 1319380/7.Finally, LCM of Fractions for 820/987, 3218/2177 is 1319380/7.