Least Common Multiple of 154/12, 289/46, 698/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/12, 289/46, 698/967 quickly i.e. 15532594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/12, 289/46, 698/967 is 15532594.

LCM(154/12, 289/46, 698/967) = 15532594

LCM of 154/12, 289/46, 698/967

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 154/12,289/46,698/967

Given numbers are 154/12,289/46,698/967

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 154,289,698

Least Common Multiple of Numerators i.e. LCM of 154,289,698 is 15532594.

GCF of Denominators means GCF of 12,46,967 as per the given fractions.

GCF of 12,46,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,289,698

LCM of Fractions 154/12,289/46,698/967 is 15532594

2 154, 289, 698
77, 289, 349

∴ So the LCM of the given numbers is 2 x 77 x 289 x 349 = 15532594

Least Common Multiple of 154,289,698 with GCF Formula

Least Common Multiple of 154,289,698 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 154,289,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,289,698) = 1

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

GCF(154,289,698) x common factors =1 x 2 = 2

LCM(154,289,698) = ( 154 × 289 × 698 ) / 2

LCM(154,289,698) = 31065188 / 2

LCM(154,289,698) = 15532594


Lets's calculate GCF of 12,46,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15532594/1

Therefore the LCM of Fractions 154/12,289/46,698/967 is 15532594

Greatest Common Factor of 12,46,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,46,967 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 12,46,967 . The biggest common factor number is the GCF number.
So the greatest common factor 12,46,967 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 154/12, 289/46, 698/967

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 154/12, 289/46, 698/967?

Answer: LCM of Numerators as per given numbers 154/12, 289/46, 698/967 is

LCM of Numerators i.e. for 154,289,698 is 15532594

GCF of denominators i.e. for 12,46,967 is 1.

Thus, LCM of Fractions is 15532594.Finally, LCM of Fractions for 154/12, 289/46, 698/967 is 15532594.