Least Common Multiple of 67/351, 94/256, 526/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/351, 94/256, 526/562 quickly i.e. 1656374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/351, 94/256, 526/562 is 1656374.

LCM(67/351, 94/256, 526/562) = 1656374

LCM of 67/351, 94/256, 526/562

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 67/351,94/256,526/562

Given numbers are 67/351,94/256,526/562

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 67,94,526

Least Common Multiple of Numerators i.e. LCM of 67,94,526 is 1656374.

GCF of Denominators means GCF of 351,256,562 as per the given fractions.

GCF of 351,256,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,94,526

LCM of Fractions 67/351,94/256,526/562 is 1656374

2 67, 94, 526
67, 47, 263

∴ So the LCM of the given numbers is 2 x 67 x 47 x 263 = 1656374

Least Common Multiple of 67,94,526 with GCF Formula

Least Common Multiple of 67,94,526 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 67,94,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,94,526) = 1

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

GCF(67,94,526) x common factors =1 x 2 = 2

LCM(67,94,526) = ( 67 × 94 × 526 ) / 2

LCM(67,94,526) = 3312748 / 2

LCM(67,94,526) = 1656374


Lets's calculate GCF of 351,256,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656374/1

Therefore the LCM of Fractions 67/351,94/256,526/562 is 1656374

Greatest Common Factor of 351,256,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,256,562 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 351,256,562 . The biggest common factor number is the GCF number.
So the greatest common factor 351,256,562 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 67/351, 94/256, 526/562

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 67/351, 94/256, 526/562?

Answer: LCM of Numerators as per given numbers 67/351, 94/256, 526/562 is

LCM of Numerators i.e. for 67,94,526 is 1656374

GCF of denominators i.e. for 351,256,562 is 1.

Thus, LCM of Fractions is 1656374.Finally, LCM of Fractions for 67/351, 94/256, 526/562 is 1656374.