Least Common Multiple of 646/14, 414/94, 749/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/14, 414/94, 749/98 quickly i.e. 50078889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/14, 414/94, 749/98 is 50078889.

LCM(646/14, 414/94, 749/98) = 50078889

LCM of 646/14, 414/94, 749/98

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 646/14,414/94,749/98

Given numbers are 646/14,414/94,749/98

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 646,414,749

Least Common Multiple of Numerators i.e. LCM of 646,414,749 is 100157778.

GCF of Denominators means GCF of 14,94,98 as per the given fractions.

GCF of 14,94,98 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,414,749

LCM of Fractions 646/14,414/94,749/98 is 50078889

2 646, 414, 749
323, 207, 749

∴ So the LCM of the given numbers is 2 x 323 x 207 x 749 = 100157778

Least Common Multiple of 646,414,749 with GCF Formula

Least Common Multiple of 646,414,749 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 646,414,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,414,749) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(646,414,749) x common factors =1 x 2 = 2

LCM(646,414,749) = ( 646 × 414 × 749 ) / 2

LCM(646,414,749) = 200315556 / 2

LCM(646,414,749) = 100157778


Lets's calculate GCF of 14,94,98

2 14, 94, 98
7, 47, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100157778/2

Therefore the LCM of Fractions 646/14,414/94,749/98 is 50078889

Greatest Common Factor of 14,94,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,94,98 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 94

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

1,2,47,94

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 14,94,98 . The biggest common factor number is the GCF number.
So the greatest common factor 14,94,98 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 646/14, 414/94, 749/98

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 646/14, 414/94, 749/98?

Answer: LCM of Numerators as per given numbers 646/14, 414/94, 749/98 is

LCM of Numerators i.e. for 646,414,749 is 100157778

GCF of denominators i.e. for 14,94,98 is 2.

Thus, LCM of Fractions is 50078889.Finally, LCM of Fractions for 646/14, 414/94, 749/98 is 50078889.