Least Common Multiple of 533/931, 697/120, 787/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 533/931, 697/120, 787/147 quickly i.e. 7131007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 533/931, 697/120, 787/147 is 7131007.

LCM(533/931, 697/120, 787/147) = 7131007

LCM of 533/931, 697/120, 787/147

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 533/931,697/120,787/147

Given numbers are 533/931,697/120,787/147

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 533,697,787

Least Common Multiple of Numerators i.e. LCM of 533,697,787 is 7131007.

GCF of Denominators means GCF of 931,120,147 as per the given fractions.

GCF of 931,120,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 533,697,787

LCM of Fractions 533/931,697/120,787/147 is 7131007

41 533, 697, 787
13, 17, 787

∴ So the LCM of the given numbers is 41 x 13 x 17 x 787 = 7131007

Least Common Multiple of 533,697,787 with GCF Formula

Least Common Multiple of 533,697,787 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 533,697,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,697,787) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(533,697,787) x common factors =1 x 41 = 41

LCM(533,697,787) = ( 533 × 697 × 787 ) / 41

LCM(533,697,787) = 292371287 / 41

LCM(533,697,787) = 7131007


Lets's calculate GCF of 931,120,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7131007/1

Therefore the LCM of Fractions 533/931,697/120,787/147 is 7131007

Greatest Common Factor of 931,120,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,120,147 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 931,120,147 . The biggest common factor number is the GCF number.
So the greatest common factor 931,120,147 is 1.


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 533/931, 697/120, 787/147

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 533/931, 697/120, 787/147?

Answer: LCM of Numerators as per given numbers 533/931, 697/120, 787/147 is

LCM of Numerators i.e. for 533,697,787 is 7131007

GCF of denominators i.e. for 931,120,147 is 1.

Thus, LCM of Fractions is 7131007.Finally, LCM of Fractions for 533/931, 697/120, 787/147 is 7131007.