Least Common Multiple of 56/346, 75/325, 670/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/346, 75/325, 670/847 quickly i.e. 281400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/346, 75/325, 670/847 is 281400.

LCM(56/346, 75/325, 670/847) = 281400

LCM of 56/346, 75/325, 670/847

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 56/346,75/325,670/847

Given numbers are 56/346,75/325,670/847

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 56,75,670

Least Common Multiple of Numerators i.e. LCM of 56,75,670 is 281400.

GCF of Denominators means GCF of 346,325,847 as per the given fractions.

GCF of 346,325,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,75,670

LCM of Fractions 56/346,75/325,670/847 is 281400

2 56, 75, 670
5 28, 75, 335
28, 15, 67

∴ So the LCM of the given numbers is 2 x 5 x 28 x 15 x 67 = 281400

Least Common Multiple of 56,75,670 with GCF Formula

Least Common Multiple of 56,75,670 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 56,75,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,75,670) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(56,75,670) x common factors =1 x 10 = 10

LCM(56,75,670) = ( 56 × 75 × 670 ) / 10

LCM(56,75,670) = 2814000 / 10

LCM(56,75,670) = 281400


Lets's calculate GCF of 346,325,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281400/1

Therefore the LCM of Fractions 56/346,75/325,670/847 is 281400

Greatest Common Factor of 346,325,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,325,847 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 346,325,847 . The biggest common factor number is the GCF number.
So the greatest common factor 346,325,847 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 56/346, 75/325, 670/847

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 56/346, 75/325, 670/847?

Answer: LCM of Numerators as per given numbers 56/346, 75/325, 670/847 is

LCM of Numerators i.e. for 56,75,670 is 281400

GCF of denominators i.e. for 346,325,847 is 1.

Thus, LCM of Fractions is 281400.Finally, LCM of Fractions for 56/346, 75/325, 670/847 is 281400.