Least Common Multiple of 280/61, 154/42, 784/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/61, 154/42, 784/174 quickly i.e. 43120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/61, 154/42, 784/174 is 43120.

LCM(280/61, 154/42, 784/174) = 43120

LCM of 280/61, 154/42, 784/174

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 280/61,154/42,784/174

Given numbers are 280/61,154/42,784/174

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 280,154,784

Least Common Multiple of Numerators i.e. LCM of 280,154,784 is 43120.

GCF of Denominators means GCF of 61,42,174 as per the given fractions.

GCF of 61,42,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,154,784

LCM of Fractions 280/61,154/42,784/174 is 43120

2 280, 154, 784
2 140, 77, 392
2 70, 77, 196
7 35, 77, 98
5, 11, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 11 x 14 = 43120

Least Common Multiple of 280,154,784 with GCF Formula

Least Common Multiple of 280,154,784 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 280,154,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,154,784) = 14

common factors(in case of two or more numbers have common factors) = 56

GCF(280,154,784) x common factors =14 x 56 = 784

LCM(280,154,784) = ( 280 × 154 × 784 ) / 784

LCM(280,154,784) = 33806080 / 784

LCM(280,154,784) = 43120


Lets's calculate GCF of 61,42,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43120/1

Therefore the LCM of Fractions 280/61,154/42,784/174 is 43120

Greatest Common Factor of 61,42,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,42,174 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 61,42,174 . The biggest common factor number is the GCF number.
So the greatest common factor 61,42,174 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 280/61, 154/42, 784/174

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 280/61, 154/42, 784/174?

Answer: LCM of Numerators as per given numbers 280/61, 154/42, 784/174 is

LCM of Numerators i.e. for 280,154,784 is 43120

GCF of denominators i.e. for 61,42,174 is 1.

Thus, LCM of Fractions is 43120.Finally, LCM of Fractions for 280/61, 154/42, 784/174 is 43120.