Least Common Multiple of 994/84, 129/56, 414/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 994/84, 129/56, 414/954 quickly i.e. 4423797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 994/84, 129/56, 414/954 is 4423797.

LCM(994/84, 129/56, 414/954) = 4423797

LCM of 994/84, 129/56, 414/954

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 994/84,129/56,414/954

Given numbers are 994/84,129/56,414/954

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 994,129,414

Least Common Multiple of Numerators i.e. LCM of 994,129,414 is 8847594.

GCF of Denominators means GCF of 84,56,954 as per the given fractions.

GCF of 84,56,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 994,129,414

LCM of Fractions 994/84,129/56,414/954 is 4423797

2 994, 129, 414
3 497, 129, 207
497, 43, 69

∴ So the LCM of the given numbers is 2 x 3 x 497 x 43 x 69 = 8847594

Least Common Multiple of 994,129,414 with GCF Formula

Least Common Multiple of 994,129,414 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 994,129,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,129,414) = 1

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

GCF(994,129,414) x common factors =1 x 6 = 6

LCM(994,129,414) = ( 994 × 129 × 414 ) / 6

LCM(994,129,414) = 53085564 / 6

LCM(994,129,414) = 8847594


Lets's calculate GCF of 84,56,954

2 84, 56, 954
42, 28, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8847594/2

Therefore the LCM of Fractions 994/84,129/56,414/954 is 4423797

Greatest Common Factor of 84,56,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,56,954 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 84,56,954 . The biggest common factor number is the GCF number.
So the greatest common factor 84,56,954 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 994/84, 129/56, 414/954

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 994/84, 129/56, 414/954?

Answer: LCM of Numerators as per given numbers 994/84, 129/56, 414/954 is

LCM of Numerators i.e. for 994,129,414 is 8847594

GCF of denominators i.e. for 84,56,954 is 2.

Thus, LCM of Fractions is 4423797.Finally, LCM of Fractions for 994/84, 129/56, 414/954 is 4423797.