Least Common Multiple of 278/13, 822/61, 653/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/13, 822/61, 653/534 quickly i.e. 74610474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/13, 822/61, 653/534 is 74610474.

LCM(278/13, 822/61, 653/534) = 74610474

LCM of 278/13, 822/61, 653/534

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 278/13,822/61,653/534

Given numbers are 278/13,822/61,653/534

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 278,822,653

Least Common Multiple of Numerators i.e. LCM of 278,822,653 is 74610474.

GCF of Denominators means GCF of 13,61,534 as per the given fractions.

GCF of 13,61,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,822,653

LCM of Fractions 278/13,822/61,653/534 is 74610474

2 278, 822, 653
139, 411, 653

∴ So the LCM of the given numbers is 2 x 139 x 411 x 653 = 74610474

Least Common Multiple of 278,822,653 with GCF Formula

Least Common Multiple of 278,822,653 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 278,822,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,822,653) = 1

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

GCF(278,822,653) x common factors =1 x 2 = 2

LCM(278,822,653) = ( 278 × 822 × 653 ) / 2

LCM(278,822,653) = 149220948 / 2

LCM(278,822,653) = 74610474


Lets's calculate GCF of 13,61,534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74610474/1

Therefore the LCM of Fractions 278/13,822/61,653/534 is 74610474

Greatest Common Factor of 13,61,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,61,534 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 13,61,534 . The biggest common factor number is the GCF number.
So the greatest common factor 13,61,534 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 278/13, 822/61, 653/534

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 278/13, 822/61, 653/534?

Answer: LCM of Numerators as per given numbers 278/13, 822/61, 653/534 is

LCM of Numerators i.e. for 278,822,653 is 74610474

GCF of denominators i.e. for 13,61,534 is 1.

Thus, LCM of Fractions is 74610474.Finally, LCM of Fractions for 278/13, 822/61, 653/534 is 74610474.