Least Common Multiple of 1120/876, 6720/3618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1120/876, 6720/3618 quickly i.e. 1120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1120/876, 6720/3618 is 1120.

LCM(1120/876, 6720/3618) = 1120

LCM of 1120/876, 6720/3618

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 1120/876,6720/3618

Given numbers are 1120/876,6720/3618

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 1120,6720

Least Common Multiple of Numerators i.e. LCM of 1120,6720 is 6720.

GCF of Denominators means GCF of 876,3618 as per the given fractions.

GCF of 876,3618 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1120,6720

LCM of Fractions 1120/876,6720/3618 is 1120

2 1120, 6720
2 560, 3360
2 280, 1680
2 140, 840
2 70, 420
5 35, 210
7 7, 42
1, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 7 x 1 x 6 = 6720

Least Common Multiple of 1120,6720 with GCF Formula

Least Common Multiple of 1120,6720 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 1120,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1120,6720) = 1120

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

GCF(1120,6720) x common factors =1120 x 1 = 1120

LCM(1120,6720) = ( 1120 × 6720 ) / 1120

LCM(1120,6720) = 7526400 / 1120

LCM(1120,6720) = 6720


Lets's calculate GCF of 876,3618

2 876, 3618
3 438, 1809
146, 603

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6720/6

Therefore the LCM of Fractions 1120/876,6720/3618 is 1120

Greatest Common Factor of 876,3618 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,3618 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Greatest Common Factor

We found the factors 876,3618 . The biggest common factor number is the GCF number.
So the greatest common factor 876,3618 is 6.


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 1120/876, 6720/3618

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 1120/876, 6720/3618?

Answer: LCM of Numerators as per given numbers 1120/876, 6720/3618 is

LCM of Numerators i.e. for 1120,6720 is 6720

GCF of denominators i.e. for 876,3618 is 6.

Thus, LCM of Fractions is 1120.Finally, LCM of Fractions for 1120/876, 6720/3618 is 1120.