Least Common Multiple of 429/951, 1298/4380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/951, 1298/4380 quickly i.e. 16874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/951, 1298/4380 is 16874.

LCM(429/951, 1298/4380) = 16874

LCM of 429/951, 1298/4380

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 429/951,1298/4380

Given numbers are 429/951,1298/4380

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 429,1298

Least Common Multiple of Numerators i.e. LCM of 429,1298 is 50622.

GCF of Denominators means GCF of 951,4380 as per the given fractions.

GCF of 951,4380 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,1298

LCM of Fractions 429/951,1298/4380 is 16874

11 429, 1298
39, 118

∴ So the LCM of the given numbers is 11 x 39 x 118 = 50622

Least Common Multiple of 429,1298 with GCF Formula

Least Common Multiple of 429,1298 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 429,1298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,1298) = 11

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

GCF(429,1298) x common factors =11 x 1 = 11

LCM(429,1298) = ( 429 × 1298 ) / 11

LCM(429,1298) = 556842 / 11

LCM(429,1298) = 50622


Lets's calculate GCF of 951,4380

3 951, 4380
317, 1460

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50622/3

Therefore the LCM of Fractions 429/951,1298/4380 is 16874

Greatest Common Factor of 951,4380 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,4380 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 4380

List of positive integer factors of 4380 that divides 4380 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380

Greatest Common Factor

We found the factors 951,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 951,4380 is 3.


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 429/951, 1298/4380

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 429/951, 1298/4380?

Answer: LCM of Numerators as per given numbers 429/951, 1298/4380 is

LCM of Numerators i.e. for 429,1298 is 50622

GCF of denominators i.e. for 951,4380 is 3.

Thus, LCM of Fractions is 16874.Finally, LCM of Fractions for 429/951, 1298/4380 is 16874.