Least Common Multiple of 9014/458, 1070/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9014/458, 1070/156 quickly i.e. 2411245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9014/458, 1070/156 is 2411245.

LCM(9014/458, 1070/156) = 2411245

LCM of 9014/458, 1070/156

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 9014/458,1070/156

Given numbers are 9014/458,1070/156

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 9014,1070

Least Common Multiple of Numerators i.e. LCM of 9014,1070 is 4822490.

GCF of Denominators means GCF of 458,156 as per the given fractions.

GCF of 458,156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9014,1070

LCM of Fractions 9014/458,1070/156 is 2411245

2 9014, 1070
4507, 535

∴ So the LCM of the given numbers is 2 x 4507 x 535 = 4822490

Least Common Multiple of 9014,1070 with GCF Formula

Least Common Multiple of 9014,1070 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 9014,1070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9014,1070) = 2

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

GCF(9014,1070) x common factors =2 x 1 = 2

LCM(9014,1070) = ( 9014 × 1070 ) / 2

LCM(9014,1070) = 9644980 / 2

LCM(9014,1070) = 4822490


Lets's calculate GCF of 458,156

2 458, 156
229, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4822490/2

Therefore the LCM of Fractions 9014/458,1070/156 is 2411245

Greatest Common Factor of 458,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,156 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 458,156 . The biggest common factor number is the GCF number.
So the greatest common factor 458,156 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 9014/458, 1070/156

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 9014/458, 1070/156?

Answer: LCM of Numerators as per given numbers 9014/458, 1070/156 is

LCM of Numerators i.e. for 9014,1070 is 4822490

GCF of denominators i.e. for 458,156 is 2.

Thus, LCM of Fractions is 2411245.Finally, LCM of Fractions for 9014/458, 1070/156 is 2411245.