Least Common Multiple of 46/98, 58/24, 51/24, 76/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/98, 58/24, 51/24, 76/658 quickly i.e. 1292646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/98, 58/24, 51/24, 76/658 is 1292646.

LCM(46/98, 58/24, 51/24, 76/658) = 1292646

LCM of 46/98, 58/24, 51/24, 76/658

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 46/98,58/24,51/24,76/658

Given numbers are 46/98,58/24,51/24,76/658

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 46,58,51,76

Least Common Multiple of Numerators i.e. LCM of 46,58,51,76 is 2585292.

GCF of Denominators means GCF of 98,24,24,658 as per the given fractions.

GCF of 98,24,24,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,58,51,76

LCM of Fractions 46/98,58/24,51/24,76/658 is 1292646

2 46, 58, 51, 76
23, 29, 51, 38

∴ So the LCM of the given numbers is 2 x 23 x 29 x 51 x 38 = 2585292

Least Common Multiple of 46,58,51,76 with GCF Formula

Least Common Multiple of 46,58,51,76 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 46,58,51,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,58,51,76) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(46,58,51,76) x common factors =1 x 4 = 4

LCM(46,58,51,76) = ( 46 × 58 × 51 × 76 ) / 4

LCM(46,58,51,76) = 10341168 / 4

LCM(46,58,51,76) = 2585292


Lets's calculate GCF of 98,24,24,658

2 98, 24, 24, 658
49, 12, 12, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2585292/2

Therefore the LCM of Fractions 46/98,58/24,51/24,76/658 is 1292646

Greatest Common Factor of 98,24,24,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,24,24,658 By Matching Biggest Common Factor Method

Factors of 98

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

1,2,7,14,49,98

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 98,24,24,658 . The biggest common factor number is the GCF number.
So the greatest common factor 98,24,24,658 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 46/98, 58/24, 51/24, 76/658

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 46/98, 58/24, 51/24, 76/658?

Answer: LCM of Numerators as per given numbers 46/98, 58/24, 51/24, 76/658 is

LCM of Numerators i.e. for 46,58,51,76 is 2585292

GCF of denominators i.e. for 98,24,24,658 is 2.

Thus, LCM of Fractions is 1292646.Finally, LCM of Fractions for 46/98, 58/24, 51/24, 76/658 is 1292646.