Least Common Multiple of 349/218, 916/154, 293/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/218, 916/154, 293/377 quickly i.e. 93667412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/218, 916/154, 293/377 is 93667412.

LCM(349/218, 916/154, 293/377) = 93667412

LCM of 349/218, 916/154, 293/377

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 349/218,916/154,293/377

Given numbers are 349/218,916/154,293/377

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 349,916,293

Least Common Multiple of Numerators i.e. LCM of 349,916,293 is 93667412.

GCF of Denominators means GCF of 218,154,377 as per the given fractions.

GCF of 218,154,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,916,293

LCM of Fractions 349/218,916/154,293/377 is 93667412

Given numbers has no common factors except 1. So, there LCM is their product i.e 93667412

Least Common Multiple of 349,916,293 with GCF Formula

Least Common Multiple of 349,916,293 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 349,916,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,916,293) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(349,916,293) x common factors =1 x 1 = 1

LCM(349,916,293) = ( 349 × 916 × 293 ) / 1

LCM(349,916,293) = 93667412 / 1

LCM(349,916,293) = 93667412


Lets's calculate GCF of 218,154,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93667412/1

Therefore the LCM of Fractions 349/218,916/154,293/377 is 93667412

Greatest Common Factor of 218,154,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,154,377 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 218,154,377 . The biggest common factor number is the GCF number.
So the greatest common factor 218,154,377 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 349/218, 916/154, 293/377

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 349/218, 916/154, 293/377?

Answer: LCM of Numerators as per given numbers 349/218, 916/154, 293/377 is

LCM of Numerators i.e. for 349,916,293 is 93667412

GCF of denominators i.e. for 218,154,377 is 1.

Thus, LCM of Fractions is 93667412.Finally, LCM of Fractions for 349/218, 916/154, 293/377 is 93667412.