Least Common Multiple of 553/56, 338/78, 395/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/56, 338/78, 395/970 quickly i.e. 467285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/56, 338/78, 395/970 is 467285.

LCM(553/56, 338/78, 395/970) = 467285

LCM of 553/56, 338/78, 395/970

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 553/56,338/78,395/970

Given numbers are 553/56,338/78,395/970

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 553,338,395

Least Common Multiple of Numerators i.e. LCM of 553,338,395 is 934570.

GCF of Denominators means GCF of 56,78,970 as per the given fractions.

GCF of 56,78,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,338,395

LCM of Fractions 553/56,338/78,395/970 is 467285

79 553, 338, 395
7, 338, 5

∴ So the LCM of the given numbers is 79 x 7 x 338 x 5 = 934570

Least Common Multiple of 553,338,395 with GCF Formula

Least Common Multiple of 553,338,395 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 553,338,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,338,395) = 1

common factors(in case of two or more numbers have common factors) = 79

GCF(553,338,395) x common factors =1 x 79 = 79

LCM(553,338,395) = ( 553 × 338 × 395 ) / 79

LCM(553,338,395) = 73831030 / 79

LCM(553,338,395) = 934570


Lets's calculate GCF of 56,78,970

2 56, 78, 970
28, 39, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 934570/2

Therefore the LCM of Fractions 553/56,338/78,395/970 is 467285

Greatest Common Factor of 56,78,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,78,970 By Matching Biggest Common Factor Method

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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 56,78,970 . The biggest common factor number is the GCF number.
So the greatest common factor 56,78,970 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 553/56, 338/78, 395/970

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 553/56, 338/78, 395/970?

Answer: LCM of Numerators as per given numbers 553/56, 338/78, 395/970 is

LCM of Numerators i.e. for 553,338,395 is 934570

GCF of denominators i.e. for 56,78,970 is 2.

Thus, LCM of Fractions is 467285.Finally, LCM of Fractions for 553/56, 338/78, 395/970 is 467285.