Least Common Multiple of 756/134, 818/564, 345/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/134, 818/564, 345/354 quickly i.e. 17779230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/134, 818/564, 345/354 is 17779230.

LCM(756/134, 818/564, 345/354) = 17779230

LCM of 756/134, 818/564, 345/354

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 756/134,818/564,345/354

Given numbers are 756/134,818/564,345/354

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 756,818,345

Least Common Multiple of Numerators i.e. LCM of 756,818,345 is 35558460.

GCF of Denominators means GCF of 134,564,354 as per the given fractions.

GCF of 134,564,354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,818,345

LCM of Fractions 756/134,818/564,345/354 is 17779230

2 756, 818, 345
3 378, 409, 345
126, 409, 115

∴ So the LCM of the given numbers is 2 x 3 x 126 x 409 x 115 = 35558460

Least Common Multiple of 756,818,345 with GCF Formula

Least Common Multiple of 756,818,345 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 756,818,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,818,345) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(756,818,345) x common factors =1 x 6 = 6

LCM(756,818,345) = ( 756 × 818 × 345 ) / 6

LCM(756,818,345) = 213350760 / 6

LCM(756,818,345) = 35558460


Lets's calculate GCF of 134,564,354

2 134, 564, 354
67, 282, 177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35558460/2

Therefore the LCM of Fractions 756/134,818/564,345/354 is 17779230

Greatest Common Factor of 134,564,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,564,354 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 134,564,354 . The biggest common factor number is the GCF number.
So the greatest common factor 134,564,354 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 756/134, 818/564, 345/354

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 756/134, 818/564, 345/354?

Answer: LCM of Numerators as per given numbers 756/134, 818/564, 345/354 is

LCM of Numerators i.e. for 756,818,345 is 35558460

GCF of denominators i.e. for 134,564,354 is 2.

Thus, LCM of Fractions is 17779230.Finally, LCM of Fractions for 756/134, 818/564, 345/354 is 17779230.