Least Common Multiple of 919/469, 357/704, 216/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 919/469, 357/704, 216/120 quickly i.e. 23621976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/469, 357/704, 216/120 is 23621976.

LCM(919/469, 357/704, 216/120) = 23621976

LCM of 919/469, 357/704, 216/120

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 919/469,357/704,216/120

Given numbers are 919/469,357/704,216/120

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 919,357,216

Least Common Multiple of Numerators i.e. LCM of 919,357,216 is 23621976.

GCF of Denominators means GCF of 469,704,120 as per the given fractions.

GCF of 469,704,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,357,216

LCM of Fractions 919/469,357/704,216/120 is 23621976

3 919, 357, 216
919, 119, 72

∴ So the LCM of the given numbers is 3 x 919 x 119 x 72 = 23621976

Least Common Multiple of 919,357,216 with GCF Formula

Least Common Multiple of 919,357,216 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 919,357,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,357,216) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(919,357,216) x common factors =1 x 3 = 3

LCM(919,357,216) = ( 919 × 357 × 216 ) / 3

LCM(919,357,216) = 70865928 / 3

LCM(919,357,216) = 23621976


Lets's calculate GCF of 469,704,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23621976/1

Therefore the LCM of Fractions 919/469,357/704,216/120 is 23621976

Greatest Common Factor of 469,704,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,704,120 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 469,704,120 . The biggest common factor number is the GCF number.
So the greatest common factor 469,704,120 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 919/469, 357/704, 216/120

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 919/469, 357/704, 216/120?

Answer: LCM of Numerators as per given numbers 919/469, 357/704, 216/120 is

LCM of Numerators i.e. for 919,357,216 is 23621976

GCF of denominators i.e. for 469,704,120 is 1.

Thus, LCM of Fractions is 23621976.Finally, LCM of Fractions for 919/469, 357/704, 216/120 is 23621976.