Least Common Multiple of 7259/308, 4088/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7259/308, 4088/312 quickly i.e. 1059814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7259/308, 4088/312 is 1059814.

LCM(7259/308, 4088/312) = 1059814

LCM of 7259/308, 4088/312

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 7259/308,4088/312

Given numbers are 7259/308,4088/312

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 7259,4088

Least Common Multiple of Numerators i.e. LCM of 7259,4088 is 4239256.

GCF of Denominators means GCF of 308,312 as per the given fractions.

GCF of 308,312 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7259,4088

LCM of Fractions 7259/308,4088/312 is 1059814

7 7259, 4088
1037, 584

∴ So the LCM of the given numbers is 7 x 1037 x 584 = 4239256

Least Common Multiple of 7259,4088 with GCF Formula

Least Common Multiple of 7259,4088 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 7259,4088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7259,4088) = 7

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

GCF(7259,4088) x common factors =7 x 1 = 7

LCM(7259,4088) = ( 7259 × 4088 ) / 7

LCM(7259,4088) = 29674792 / 7

LCM(7259,4088) = 4239256


Lets's calculate GCF of 308,312

2 308, 312
2 154, 156
77, 78

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4239256/4

Therefore the LCM of Fractions 7259/308,4088/312 is 1059814

Greatest Common Factor of 308,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,312 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 308,312 . The biggest common factor number is the GCF number.
So the greatest common factor 308,312 is 4.


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 7259/308, 4088/312

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 7259/308, 4088/312?

Answer: LCM of Numerators as per given numbers 7259/308, 4088/312 is

LCM of Numerators i.e. for 7259,4088 is 4239256

GCF of denominators i.e. for 308,312 is 4.

Thus, LCM of Fractions is 1059814.Finally, LCM of Fractions for 7259/308, 4088/312 is 1059814.