Least Common Multiple of 256/67, 316/52, 402/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 256/67, 316/52, 402/198 quickly i.e. 4065024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 256/67, 316/52, 402/198 is 4065024.

LCM(256/67, 316/52, 402/198) = 4065024

LCM of 256/67, 316/52, 402/198

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 256/67,316/52,402/198

Given numbers are 256/67,316/52,402/198

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 256,316,402

Least Common Multiple of Numerators i.e. LCM of 256,316,402 is 4065024.

GCF of Denominators means GCF of 67,52,198 as per the given fractions.

GCF of 67,52,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 256,316,402

LCM of Fractions 256/67,316/52,402/198 is 4065024

2 256, 316, 402
2 128, 158, 201
64, 79, 201

∴ So the LCM of the given numbers is 2 x 2 x 64 x 79 x 201 = 4065024

Least Common Multiple of 256,316,402 with GCF Formula

Least Common Multiple of 256,316,402 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 256,316,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,316,402) = 2

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

GCF(256,316,402) x common factors =2 x 4 = 8

LCM(256,316,402) = ( 256 × 316 × 402 ) / 8

LCM(256,316,402) = 32520192 / 8

LCM(256,316,402) = 4065024


Lets's calculate GCF of 67,52,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4065024/1

Therefore the LCM of Fractions 256/67,316/52,402/198 is 4065024

Greatest Common Factor of 67,52,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,52,198 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 67,52,198 . The biggest common factor number is the GCF number.
So the greatest common factor 67,52,198 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 256/67, 316/52, 402/198

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 256/67, 316/52, 402/198?

Answer: LCM of Numerators as per given numbers 256/67, 316/52, 402/198 is

LCM of Numerators i.e. for 256,316,402 is 4065024

GCF of denominators i.e. for 67,52,198 is 1.

Thus, LCM of Fractions is 4065024.Finally, LCM of Fractions for 256/67, 316/52, 402/198 is 4065024.