Least Common Multiple of 945/404, 7020/4764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/404, 7020/4764 quickly i.e. 12285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/404, 7020/4764 is 12285.

LCM(945/404, 7020/4764) = 12285

LCM of 945/404, 7020/4764

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 945/404,7020/4764

Given numbers are 945/404,7020/4764

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 945,7020

Least Common Multiple of Numerators i.e. LCM of 945,7020 is 49140.

GCF of Denominators means GCF of 404,4764 as per the given fractions.

GCF of 404,4764 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,7020

LCM of Fractions 945/404,7020/4764 is 12285

3 945, 7020
3 315, 2340
3 105, 780
5 35, 260
7, 52

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 7 x 52 = 49140

Least Common Multiple of 945,7020 with GCF Formula

Least Common Multiple of 945,7020 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 945,7020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,7020) = 135

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

GCF(945,7020) x common factors =135 x 1 = 135

LCM(945,7020) = ( 945 × 7020 ) / 135

LCM(945,7020) = 6633900 / 135

LCM(945,7020) = 49140


Lets's calculate GCF of 404,4764

2 404, 4764
2 202, 2382
101, 1191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49140/4

Therefore the LCM of Fractions 945/404,7020/4764 is 12285

Greatest Common Factor of 404,4764 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,4764 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 4764

List of positive integer factors of 4764 that divides 4764 without a remainder.

1,2,3,4,6,12,397,794,1191,1588,2382,4764

Greatest Common Factor

We found the factors 404,4764 . The biggest common factor number is the GCF number.
So the greatest common factor 404,4764 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 945/404, 7020/4764

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 945/404, 7020/4764?

Answer: LCM of Numerators as per given numbers 945/404, 7020/4764 is

LCM of Numerators i.e. for 945,7020 is 49140

GCF of denominators i.e. for 404,4764 is 4.

Thus, LCM of Fractions is 12285.Finally, LCM of Fractions for 945/404, 7020/4764 is 12285.