Least Common Multiple of 321/49, 470/4984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/49, 470/4984 quickly i.e. 150870/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/49, 470/4984 is 150870/7.

LCM(321/49, 470/4984) = 150870/7

LCM of 321/49, 470/4984

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 321/49,470/4984

Given numbers are 321/49,470/4984

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 321,470

Least Common Multiple of Numerators i.e. LCM of 321,470 is 150870.

GCF of Denominators means GCF of 49,4984 as per the given fractions.

GCF of 49,4984 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,470

LCM of Fractions 321/49,470/4984 is 150870/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 150870

Least Common Multiple of 321,470 with GCF Formula

Least Common Multiple of 321,470 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 321,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,470) = 1

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

GCF(321,470) x common factors =1 x 1 = 1

LCM(321,470) = ( 321 × 470 ) / 1

LCM(321,470) = 150870 / 1

LCM(321,470) = 150870


Lets's calculate GCF of 49,4984

7 49, 4984
7, 712

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150870/7

Therefore the LCM of Fractions 321/49,470/4984 is 150870/7

Greatest Common Factor of 49,4984 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,4984 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984

Greatest Common Factor

We found the factors 49,4984 . The biggest common factor number is the GCF number.
So the greatest common factor 49,4984 is 7.


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 321/49, 470/4984

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 321/49, 470/4984?

Answer: LCM of Numerators as per given numbers 321/49, 470/4984 is

LCM of Numerators i.e. for 321,470 is 150870

GCF of denominators i.e. for 49,4984 is 7.

Thus, LCM of Fractions is 150870/7.Finally, LCM of Fractions for 321/49, 470/4984 is 150870/7.