Least Common Multiple of 258/22, 100/64, 988/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/22, 100/64, 988/312 quickly i.e. 1593150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/22, 100/64, 988/312 is 1593150.

LCM(258/22, 100/64, 988/312) = 1593150

LCM of 258/22, 100/64, 988/312

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 258/22,100/64,988/312

Given numbers are 258/22,100/64,988/312

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 258,100,988

Least Common Multiple of Numerators i.e. LCM of 258,100,988 is 3186300.

GCF of Denominators means GCF of 22,64,312 as per the given fractions.

GCF of 22,64,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,100,988

LCM of Fractions 258/22,100/64,988/312 is 1593150

2 258, 100, 988
2 129, 50, 494
129, 25, 247

∴ So the LCM of the given numbers is 2 x 2 x 129 x 25 x 247 = 3186300

Least Common Multiple of 258,100,988 with GCF Formula

Least Common Multiple of 258,100,988 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 258,100,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,100,988) = 2

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

GCF(258,100,988) x common factors =2 x 4 = 8

LCM(258,100,988) = ( 258 × 100 × 988 ) / 8

LCM(258,100,988) = 25490400 / 8

LCM(258,100,988) = 3186300


Lets's calculate GCF of 22,64,312

2 22, 64, 312
11, 32, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3186300/2

Therefore the LCM of Fractions 258/22,100/64,988/312 is 1593150

Greatest Common Factor of 22,64,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,64,312 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 22,64,312 . The biggest common factor number is the GCF number.
So the greatest common factor 22,64,312 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 258/22, 100/64, 988/312

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 258/22, 100/64, 988/312?

Answer: LCM of Numerators as per given numbers 258/22, 100/64, 988/312 is

LCM of Numerators i.e. for 258,100,988 is 3186300

GCF of denominators i.e. for 22,64,312 is 2.

Thus, LCM of Fractions is 1593150.Finally, LCM of Fractions for 258/22, 100/64, 988/312 is 1593150.