Least Common Multiple of 457/438, 6150/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/438, 6150/632 quickly i.e. 1405275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/438, 6150/632 is 1405275.

LCM(457/438, 6150/632) = 1405275

LCM of 457/438, 6150/632

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 457/438,6150/632

Given numbers are 457/438,6150/632

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 457,6150

Least Common Multiple of Numerators i.e. LCM of 457,6150 is 2810550.

GCF of Denominators means GCF of 438,632 as per the given fractions.

GCF of 438,632 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,6150

LCM of Fractions 457/438,6150/632 is 1405275

Given numbers has no common factors except 1. So, there LCM is their product i.e 2810550

Least Common Multiple of 457,6150 with GCF Formula

Least Common Multiple of 457,6150 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 457,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,6150) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(457,6150) x common factors =1 x 1 = 1

LCM(457,6150) = ( 457 × 6150 ) / 1

LCM(457,6150) = 2810550 / 1

LCM(457,6150) = 2810550


Lets's calculate GCF of 438,632

2 438, 632
219, 316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2810550/2

Therefore the LCM of Fractions 457/438,6150/632 is 1405275

Greatest Common Factor of 438,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,632 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 438,632 . The biggest common factor number is the GCF number.
So the greatest common factor 438,632 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 457/438, 6150/632

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 457/438, 6150/632?

Answer: LCM of Numerators as per given numbers 457/438, 6150/632 is

LCM of Numerators i.e. for 457,6150 is 2810550

GCF of denominators i.e. for 438,632 is 2.

Thus, LCM of Fractions is 1405275.Finally, LCM of Fractions for 457/438, 6150/632 is 1405275.