Least Common Multiple of 51/429, 347/550, 880/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/429, 347/550, 880/464 quickly i.e. 15573360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/429, 347/550, 880/464 is 15573360.

LCM(51/429, 347/550, 880/464) = 15573360

LCM of 51/429, 347/550, 880/464

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 51/429,347/550,880/464

Given numbers are 51/429,347/550,880/464

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 51,347,880

Least Common Multiple of Numerators i.e. LCM of 51,347,880 is 15573360.

GCF of Denominators means GCF of 429,550,464 as per the given fractions.

GCF of 429,550,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,347,880

LCM of Fractions 51/429,347/550,880/464 is 15573360

Given numbers has no common factors except 1. So, there LCM is their product i.e 15573360

Least Common Multiple of 51,347,880 with GCF Formula

Least Common Multiple of 51,347,880 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 51,347,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,347,880) = 1

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

GCF(51,347,880) x common factors =1 x 1 = 1

LCM(51,347,880) = ( 51 × 347 × 880 ) / 1

LCM(51,347,880) = 15573360 / 1

LCM(51,347,880) = 15573360


Lets's calculate GCF of 429,550,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15573360/1

Therefore the LCM of Fractions 51/429,347/550,880/464 is 15573360

Greatest Common Factor of 429,550,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,550,464 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 429,550,464 . The biggest common factor number is the GCF number.
So the greatest common factor 429,550,464 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/429, 347/550, 880/464

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 51/429, 347/550, 880/464?

Answer: LCM of Numerators as per given numbers 51/429, 347/550, 880/464 is

LCM of Numerators i.e. for 51,347,880 is 15573360

GCF of denominators i.e. for 429,550,464 is 1.

Thus, LCM of Fractions is 15573360.Finally, LCM of Fractions for 51/429, 347/550, 880/464 is 15573360.