Least Common Multiple of 357/94, 366/56, 390/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/94, 366/56, 390/428 quickly i.e. 1415505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/94, 366/56, 390/428 is 1415505.

LCM(357/94, 366/56, 390/428) = 1415505

LCM of 357/94, 366/56, 390/428

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 357/94,366/56,390/428

Given numbers are 357/94,366/56,390/428

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 357,366,390

Least Common Multiple of Numerators i.e. LCM of 357,366,390 is 2831010.

GCF of Denominators means GCF of 94,56,428 as per the given fractions.

GCF of 94,56,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,366,390

LCM of Fractions 357/94,366/56,390/428 is 1415505

2 357, 366, 390
3 357, 183, 195
119, 61, 65

∴ So the LCM of the given numbers is 2 x 3 x 119 x 61 x 65 = 2831010

Least Common Multiple of 357,366,390 with GCF Formula

Least Common Multiple of 357,366,390 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 357,366,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,366,390) = 3

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

GCF(357,366,390) x common factors =3 x 6 = 18

LCM(357,366,390) = ( 357 × 366 × 390 ) / 18

LCM(357,366,390) = 50958180 / 18

LCM(357,366,390) = 2831010


Lets's calculate GCF of 94,56,428

2 94, 56, 428
47, 28, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2831010/2

Therefore the LCM of Fractions 357/94,366/56,390/428 is 1415505

Greatest Common Factor of 94,56,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,56,428 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 94,56,428 . The biggest common factor number is the GCF number.
So the greatest common factor 94,56,428 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 357/94, 366/56, 390/428

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 357/94, 366/56, 390/428?

Answer: LCM of Numerators as per given numbers 357/94, 366/56, 390/428 is

LCM of Numerators i.e. for 357,366,390 is 2831010

GCF of denominators i.e. for 94,56,428 is 2.

Thus, LCM of Fractions is 1415505.Finally, LCM of Fractions for 357/94, 366/56, 390/428 is 1415505.