Least Common Multiple of 917/148, 262/182, 583/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 917/148, 262/182, 583/538 quickly i.e. 534611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 917/148, 262/182, 583/538 is 534611.

LCM(917/148, 262/182, 583/538) = 534611

LCM of 917/148, 262/182, 583/538

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 917/148,262/182,583/538

Given numbers are 917/148,262/182,583/538

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 917,262,583

Least Common Multiple of Numerators i.e. LCM of 917,262,583 is 1069222.

GCF of Denominators means GCF of 148,182,538 as per the given fractions.

GCF of 148,182,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 917,262,583

LCM of Fractions 917/148,262/182,583/538 is 534611

131 917, 262, 583
7, 2, 583

∴ So the LCM of the given numbers is 131 x 7 x 2 x 583 = 1069222

Least Common Multiple of 917,262,583 with GCF Formula

Least Common Multiple of 917,262,583 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 917,262,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,262,583) = 1

common factors(in case of two or more numbers have common factors) = 131

GCF(917,262,583) x common factors =1 x 131 = 131

LCM(917,262,583) = ( 917 × 262 × 583 ) / 131

LCM(917,262,583) = 140068082 / 131

LCM(917,262,583) = 1069222


Lets's calculate GCF of 148,182,538

2 148, 182, 538
74, 91, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069222/2

Therefore the LCM of Fractions 917/148,262/182,583/538 is 534611

Greatest Common Factor of 148,182,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,182,538 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 148,182,538 . The biggest common factor number is the GCF number.
So the greatest common factor 148,182,538 is 2.


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 917/148, 262/182, 583/538

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 917/148, 262/182, 583/538?

Answer: LCM of Numerators as per given numbers 917/148, 262/182, 583/538 is

LCM of Numerators i.e. for 917,262,583 is 1069222

GCF of denominators i.e. for 148,182,538 is 2.

Thus, LCM of Fractions is 534611.Finally, LCM of Fractions for 917/148, 262/182, 583/538 is 534611.