Least Common Multiple of 354/88, 814/38, 851/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/88, 814/38, 851/437 quickly i.e. 3313794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/88, 814/38, 851/437 is 3313794.

LCM(354/88, 814/38, 851/437) = 3313794

LCM of 354/88, 814/38, 851/437

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 354/88,814/38,851/437

Given numbers are 354/88,814/38,851/437

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 354,814,851

Least Common Multiple of Numerators i.e. LCM of 354,814,851 is 3313794.

GCF of Denominators means GCF of 88,38,437 as per the given fractions.

GCF of 88,38,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,814,851

LCM of Fractions 354/88,814/38,851/437 is 3313794

2 354, 814, 851
37 177, 407, 851
177, 11, 23

∴ So the LCM of the given numbers is 2 x 37 x 177 x 11 x 23 = 3313794

Least Common Multiple of 354,814,851 with GCF Formula

Least Common Multiple of 354,814,851 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 354,814,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,814,851) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(354,814,851) x common factors =1 x 74 = 74

LCM(354,814,851) = ( 354 × 814 × 851 ) / 74

LCM(354,814,851) = 245220756 / 74

LCM(354,814,851) = 3313794


Lets's calculate GCF of 88,38,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3313794/1

Therefore the LCM of Fractions 354/88,814/38,851/437 is 3313794

Greatest Common Factor of 88,38,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,38,437 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 88,38,437 . The biggest common factor number is the GCF number.
So the greatest common factor 88,38,437 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 354/88, 814/38, 851/437

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 354/88, 814/38, 851/437?

Answer: LCM of Numerators as per given numbers 354/88, 814/38, 851/437 is

LCM of Numerators i.e. for 354,814,851 is 3313794

GCF of denominators i.e. for 88,38,437 is 1.

Thus, LCM of Fractions is 3313794.Finally, LCM of Fractions for 354/88, 814/38, 851/437 is 3313794.