Least Common Multiple of 354/10, 715/56, 464/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/10, 715/56, 464/820 quickly i.e. 29360760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/10, 715/56, 464/820 is 29360760.

LCM(354/10, 715/56, 464/820) = 29360760

LCM of 354/10, 715/56, 464/820

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 354/10,715/56,464/820

Given numbers are 354/10,715/56,464/820

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 354,715,464

Least Common Multiple of Numerators i.e. LCM of 354,715,464 is 58721520.

GCF of Denominators means GCF of 10,56,820 as per the given fractions.

GCF of 10,56,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,715,464

LCM of Fractions 354/10,715/56,464/820 is 29360760

2 354, 715, 464
177, 715, 232

∴ So the LCM of the given numbers is 2 x 177 x 715 x 232 = 58721520

Least Common Multiple of 354,715,464 with GCF Formula

Least Common Multiple of 354,715,464 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 354,715,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,715,464) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(354,715,464) x common factors =1 x 2 = 2

LCM(354,715,464) = ( 354 × 715 × 464 ) / 2

LCM(354,715,464) = 117443040 / 2

LCM(354,715,464) = 58721520


Lets's calculate GCF of 10,56,820

2 10, 56, 820
5, 28, 410

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58721520/2

Therefore the LCM of Fractions 354/10,715/56,464/820 is 29360760

Greatest Common Factor of 10,56,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,56,820 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 10,56,820 . The biggest common factor number is the GCF number.
So the greatest common factor 10,56,820 is 2.


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 354/10, 715/56, 464/820

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 354/10, 715/56, 464/820?

Answer: LCM of Numerators as per given numbers 354/10, 715/56, 464/820 is

LCM of Numerators i.e. for 354,715,464 is 58721520

GCF of denominators i.e. for 10,56,820 is 2.

Thus, LCM of Fractions is 29360760.Finally, LCM of Fractions for 354/10, 715/56, 464/820 is 29360760.