Least Common Multiple of 918/91, 578/52, 594/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/91, 578/52, 594/914 quickly i.e. 171666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/91, 578/52, 594/914 is 171666.

LCM(918/91, 578/52, 594/914) = 171666

LCM of 918/91, 578/52, 594/914

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 918/91,578/52,594/914

Given numbers are 918/91,578/52,594/914

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 918,578,594

Least Common Multiple of Numerators i.e. LCM of 918,578,594 is 171666.

GCF of Denominators means GCF of 91,52,914 as per the given fractions.

GCF of 91,52,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,578,594

LCM of Fractions 918/91,578/52,594/914 is 171666

2 918, 578, 594
3 459, 289, 297
3 153, 289, 99
3 51, 289, 33
17 17, 289, 11
1, 17, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 17 x 1 x 17 x 11 = 171666

Least Common Multiple of 918,578,594 with GCF Formula

Least Common Multiple of 918,578,594 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 918,578,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,578,594) = 2

common factors(in case of two or more numbers have common factors) = 918

GCF(918,578,594) x common factors =2 x 918 = 1836

LCM(918,578,594) = ( 918 × 578 × 594 ) / 1836

LCM(918,578,594) = 315178776 / 1836

LCM(918,578,594) = 171666


Lets's calculate GCF of 91,52,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171666/1

Therefore the LCM of Fractions 918/91,578/52,594/914 is 171666

Greatest Common Factor of 91,52,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,52,914 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 91,52,914 . The biggest common factor number is the GCF number.
So the greatest common factor 91,52,914 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 918/91, 578/52, 594/914

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 918/91, 578/52, 594/914?

Answer: LCM of Numerators as per given numbers 918/91, 578/52, 594/914 is

LCM of Numerators i.e. for 918,578,594 is 171666

GCF of denominators i.e. for 91,52,914 is 1.

Thus, LCM of Fractions is 171666.Finally, LCM of Fractions for 918/91, 578/52, 594/914 is 171666.