Least Common Multiple of 703/58, 308/4114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 703/58, 308/4114 quickly i.e. 108262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/58, 308/4114 is 108262.

LCM(703/58, 308/4114) = 108262

LCM of 703/58, 308/4114

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 703/58,308/4114

Given numbers are 703/58,308/4114

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 703,308

Least Common Multiple of Numerators i.e. LCM of 703,308 is 216524.

GCF of Denominators means GCF of 58,4114 as per the given fractions.

GCF of 58,4114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,308

LCM of Fractions 703/58,308/4114 is 108262

Given numbers has no common factors except 1. So, there LCM is their product i.e 216524

Least Common Multiple of 703,308 with GCF Formula

Least Common Multiple of 703,308 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 703,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,308) = 1

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

GCF(703,308) x common factors =1 x 1 = 1

LCM(703,308) = ( 703 × 308 ) / 1

LCM(703,308) = 216524 / 1

LCM(703,308) = 216524


Lets's calculate GCF of 58,4114

2 58, 4114
29, 2057

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216524/2

Therefore the LCM of Fractions 703/58,308/4114 is 108262

Greatest Common Factor of 58,4114 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,4114 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 4114

List of positive integer factors of 4114 that divides 4114 without a remainder.

1,2,11,17,22,34,121,187,242,374,2057,4114

Greatest Common Factor

We found the factors 58,4114 . The biggest common factor number is the GCF number.
So the greatest common factor 58,4114 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 703/58, 308/4114

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 703/58, 308/4114?

Answer: LCM of Numerators as per given numbers 703/58, 308/4114 is

LCM of Numerators i.e. for 703,308 is 216524

GCF of denominators i.e. for 58,4114 is 2.

Thus, LCM of Fractions is 108262.Finally, LCM of Fractions for 703/58, 308/4114 is 108262.