Least Common Multiple of 895/46, 430/1148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 895/46, 430/1148 quickly i.e. 38485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 895/46, 430/1148 is 38485.

LCM(895/46, 430/1148) = 38485

LCM of 895/46, 430/1148

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 895/46,430/1148

Given numbers are 895/46,430/1148

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 895,430

Least Common Multiple of Numerators i.e. LCM of 895,430 is 76970.

GCF of Denominators means GCF of 46,1148 as per the given fractions.

GCF of 46,1148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 895,430

LCM of Fractions 895/46,430/1148 is 38485

5 895, 430
179, 86

∴ So the LCM of the given numbers is 5 x 179 x 86 = 76970

Least Common Multiple of 895,430 with GCF Formula

Least Common Multiple of 895,430 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 895,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,430) = 5

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

GCF(895,430) x common factors =5 x 1 = 5

LCM(895,430) = ( 895 × 430 ) / 5

LCM(895,430) = 384850 / 5

LCM(895,430) = 76970


Lets's calculate GCF of 46,1148

2 46, 1148
23, 574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76970/2

Therefore the LCM of Fractions 895/46,430/1148 is 38485

Greatest Common Factor of 46,1148 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,1148 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1,2,4,7,14,28,41,82,164,287,574,1148

Greatest Common Factor

We found the factors 46,1148 . The biggest common factor number is the GCF number.
So the greatest common factor 46,1148 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 895/46, 430/1148

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 895/46, 430/1148?

Answer: LCM of Numerators as per given numbers 895/46, 430/1148 is

LCM of Numerators i.e. for 895,430 is 76970

GCF of denominators i.e. for 46,1148 is 2.

Thus, LCM of Fractions is 38485.Finally, LCM of Fractions for 895/46, 430/1148 is 38485.