Least Common Multiple of 530/12, 785/5370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/12, 785/5370 quickly i.e. 83210/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/12, 785/5370 is 83210/6.

LCM(530/12, 785/5370) = 83210/6

LCM of 530/12, 785/5370

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 530/12,785/5370

Given numbers are 530/12,785/5370

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 530,785

Least Common Multiple of Numerators i.e. LCM of 530,785 is 83210.

GCF of Denominators means GCF of 12,5370 as per the given fractions.

GCF of 12,5370 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,785

LCM of Fractions 530/12,785/5370 is 83210/6

5 530, 785
106, 157

∴ So the LCM of the given numbers is 5 x 106 x 157 = 83210

Least Common Multiple of 530,785 with GCF Formula

Least Common Multiple of 530,785 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 530,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,785) = 5

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

GCF(530,785) x common factors =5 x 1 = 5

LCM(530,785) = ( 530 × 785 ) / 5

LCM(530,785) = 416050 / 5

LCM(530,785) = 83210


Lets's calculate GCF of 12,5370

2 12, 5370
3 6, 2685
2, 895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83210/6

Therefore the LCM of Fractions 530/12,785/5370 is 83210/6

Greatest Common Factor of 12,5370 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,5370 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Greatest Common Factor

We found the factors 12,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 12,5370 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 530/12, 785/5370

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 530/12, 785/5370?

Answer: LCM of Numerators as per given numbers 530/12, 785/5370 is

LCM of Numerators i.e. for 530,785 is 83210

GCF of denominators i.e. for 12,5370 is 6.

Thus, LCM of Fractions is 83210/6.Finally, LCM of Fractions for 530/12, 785/5370 is 83210/6.