Least Common Multiple of 414/312, 376/721, 222/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/312, 376/721, 222/737 quickly i.e. 2879784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/312, 376/721, 222/737 is 2879784.

LCM(414/312, 376/721, 222/737) = 2879784

LCM of 414/312, 376/721, 222/737

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 414/312,376/721,222/737

Given numbers are 414/312,376/721,222/737

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 414,376,222

Least Common Multiple of Numerators i.e. LCM of 414,376,222 is 2879784.

GCF of Denominators means GCF of 312,721,737 as per the given fractions.

GCF of 312,721,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,376,222

LCM of Fractions 414/312,376/721,222/737 is 2879784

2 414, 376, 222
3 207, 188, 111
69, 188, 37

∴ So the LCM of the given numbers is 2 x 3 x 69 x 188 x 37 = 2879784

Least Common Multiple of 414,376,222 with GCF Formula

Least Common Multiple of 414,376,222 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 414,376,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,376,222) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(414,376,222) x common factors =2 x 6 = 12

LCM(414,376,222) = ( 414 × 376 × 222 ) / 12

LCM(414,376,222) = 34557408 / 12

LCM(414,376,222) = 2879784


Lets's calculate GCF of 312,721,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2879784/1

Therefore the LCM of Fractions 414/312,376/721,222/737 is 2879784

Greatest Common Factor of 312,721,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,721,737 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 312,721,737 . The biggest common factor number is the GCF number.
So the greatest common factor 312,721,737 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 414/312, 376/721, 222/737

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 414/312, 376/721, 222/737?

Answer: LCM of Numerators as per given numbers 414/312, 376/721, 222/737 is

LCM of Numerators i.e. for 414,376,222 is 2879784

GCF of denominators i.e. for 312,721,737 is 1.

Thus, LCM of Fractions is 2879784.Finally, LCM of Fractions for 414/312, 376/721, 222/737 is 2879784.