Least Common Multiple of 534/20, 475/7670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 534/20, 475/7670 quickly i.e. 25365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/20, 475/7670 is 25365.

LCM(534/20, 475/7670) = 25365

LCM of 534/20, 475/7670

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 534/20,475/7670

Given numbers are 534/20,475/7670

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 534,475

Least Common Multiple of Numerators i.e. LCM of 534,475 is 253650.

GCF of Denominators means GCF of 20,7670 as per the given fractions.

GCF of 20,7670 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,475

LCM of Fractions 534/20,475/7670 is 25365

Given numbers has no common factors except 1. So, there LCM is their product i.e 253650

Least Common Multiple of 534,475 with GCF Formula

Least Common Multiple of 534,475 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 534,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,475) = 1

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

GCF(534,475) x common factors =1 x 1 = 1

LCM(534,475) = ( 534 × 475 ) / 1

LCM(534,475) = 253650 / 1

LCM(534,475) = 253650


Lets's calculate GCF of 20,7670

2 20, 7670
5 10, 3835
2, 767

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253650/10

Therefore the LCM of Fractions 534/20,475/7670 is 25365

Greatest Common Factor of 20,7670 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,7670 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Greatest Common Factor

We found the factors 20,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7670 is 10.


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 534/20, 475/7670

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 534/20, 475/7670?

Answer: LCM of Numerators as per given numbers 534/20, 475/7670 is

LCM of Numerators i.e. for 534,475 is 253650

GCF of denominators i.e. for 20,7670 is 10.

Thus, LCM of Fractions is 25365.Finally, LCM of Fractions for 534/20, 475/7670 is 25365.