Least Common Multiple of 530/77, 642/90, 934/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 530/77, 642/90, 934/394 quickly i.e. 79450710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/77, 642/90, 934/394 is 79450710.

LCM(530/77, 642/90, 934/394) = 79450710

LCM of 530/77, 642/90, 934/394

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 530/77,642/90,934/394

Given numbers are 530/77,642/90,934/394

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 530,642,934

Least Common Multiple of Numerators i.e. LCM of 530,642,934 is 79450710.

GCF of Denominators means GCF of 77,90,394 as per the given fractions.

GCF of 77,90,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,642,934

LCM of Fractions 530/77,642/90,934/394 is 79450710

2 530, 642, 934
265, 321, 467

∴ So the LCM of the given numbers is 2 x 265 x 321 x 467 = 79450710

Least Common Multiple of 530,642,934 with GCF Formula

Least Common Multiple of 530,642,934 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 530,642,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,642,934) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(530,642,934) x common factors =2 x 2 = 4

LCM(530,642,934) = ( 530 × 642 × 934 ) / 4

LCM(530,642,934) = 317802840 / 4

LCM(530,642,934) = 79450710


Lets's calculate GCF of 77,90,394

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79450710/1

Therefore the LCM of Fractions 530/77,642/90,934/394 is 79450710

Greatest Common Factor of 77,90,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,90,394 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 77,90,394 . The biggest common factor number is the GCF number.
So the greatest common factor 77,90,394 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 530/77, 642/90, 934/394

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 530/77, 642/90, 934/394?

Answer: LCM of Numerators as per given numbers 530/77, 642/90, 934/394 is

LCM of Numerators i.e. for 530,642,934 is 79450710

GCF of denominators i.e. for 77,90,394 is 1.

Thus, LCM of Fractions is 79450710.Finally, LCM of Fractions for 530/77, 642/90, 934/394 is 79450710.