Least Common Multiple of 352/61, 279/79, 264/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/61, 279/79, 264/257 quickly i.e. 98208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/61, 279/79, 264/257 is 98208.

LCM(352/61, 279/79, 264/257) = 98208

LCM of 352/61, 279/79, 264/257

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 352/61,279/79,264/257

Given numbers are 352/61,279/79,264/257

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 352,279,264

Least Common Multiple of Numerators i.e. LCM of 352,279,264 is 98208.

GCF of Denominators means GCF of 61,79,257 as per the given fractions.

GCF of 61,79,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,279,264

LCM of Fractions 352/61,279/79,264/257 is 98208

2 352, 279, 264
2 176, 279, 132
2 88, 279, 66
3 44, 279, 33
11 44, 93, 11
4, 93, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 4 x 93 x 1 = 98208

Least Common Multiple of 352,279,264 with GCF Formula

Least Common Multiple of 352,279,264 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 352,279,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,279,264) = 1

common factors(in case of two or more numbers have common factors) = 264

GCF(352,279,264) x common factors =1 x 264 = 264

LCM(352,279,264) = ( 352 × 279 × 264 ) / 264

LCM(352,279,264) = 25926912 / 264

LCM(352,279,264) = 98208


Lets's calculate GCF of 61,79,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98208/1

Therefore the LCM of Fractions 352/61,279/79,264/257 is 98208

Greatest Common Factor of 61,79,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,79,257 By Matching Biggest Common Factor Method

Factors of 61

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

1,61

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 61,79,257 . The biggest common factor number is the GCF number.
So the greatest common factor 61,79,257 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 352/61, 279/79, 264/257

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 352/61, 279/79, 264/257?

Answer: LCM of Numerators as per given numbers 352/61, 279/79, 264/257 is

LCM of Numerators i.e. for 352,279,264 is 98208

GCF of denominators i.e. for 61,79,257 is 1.

Thus, LCM of Fractions is 98208.Finally, LCM of Fractions for 352/61, 279/79, 264/257 is 98208.