Least Common Multiple of 7090/959, 4102/3151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7090/959, 4102/3151 quickly i.e. 14541590/137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7090/959, 4102/3151 is 14541590/137.

LCM(7090/959, 4102/3151) = 14541590/137

LCM of 7090/959, 4102/3151

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 7090/959,4102/3151

Given numbers are 7090/959,4102/3151

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 7090,4102

Least Common Multiple of Numerators i.e. LCM of 7090,4102 is 14541590.

GCF of Denominators means GCF of 959,3151 as per the given fractions.

GCF of 959,3151 is 137 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7090,4102

LCM of Fractions 7090/959,4102/3151 is 14541590/137

2 7090, 4102
3545, 2051

∴ So the LCM of the given numbers is 2 x 3545 x 2051 = 14541590

Least Common Multiple of 7090,4102 with GCF Formula

Least Common Multiple of 7090,4102 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 7090,4102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7090,4102) = 2

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

GCF(7090,4102) x common factors =2 x 1 = 2

LCM(7090,4102) = ( 7090 × 4102 ) / 2

LCM(7090,4102) = 29083180 / 2

LCM(7090,4102) = 14541590


Lets's calculate GCF of 959,3151

137 959, 3151
7, 23

∴ So the GCF of the given numbers is 137 = 137

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14541590/137

Therefore the LCM of Fractions 7090/959,4102/3151 is 14541590/137

Greatest Common Factor of 959,3151 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,3151 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 3151

List of positive integer factors of 3151 that divides 3151 without a remainder.

1,23,137,3151

Greatest Common Factor

We found the factors 959,3151 . The biggest common factor number is the GCF number.
So the greatest common factor 959,3151 is 137.


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 7090/959, 4102/3151

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 7090/959, 4102/3151?

Answer: LCM of Numerators as per given numbers 7090/959, 4102/3151 is

LCM of Numerators i.e. for 7090,4102 is 14541590

GCF of denominators i.e. for 959,3151 is 137.

Thus, LCM of Fractions is 14541590/137.Finally, LCM of Fractions for 7090/959, 4102/3151 is 14541590/137.