Least Common Multiple of 707/148, 3038/1524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 707/148, 3038/1524 quickly i.e. 306838/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/148, 3038/1524 is 306838/4.

LCM(707/148, 3038/1524) = 306838/4

LCM of 707/148, 3038/1524

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 707/148,3038/1524

Given numbers are 707/148,3038/1524

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 707,3038

Least Common Multiple of Numerators i.e. LCM of 707,3038 is 306838.

GCF of Denominators means GCF of 148,1524 as per the given fractions.

GCF of 148,1524 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,3038

LCM of Fractions 707/148,3038/1524 is 306838/4

7 707, 3038
101, 434

∴ So the LCM of the given numbers is 7 x 101 x 434 = 306838

Least Common Multiple of 707,3038 with GCF Formula

Least Common Multiple of 707,3038 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 707,3038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,3038) = 7

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

GCF(707,3038) x common factors =7 x 1 = 7

LCM(707,3038) = ( 707 × 3038 ) / 7

LCM(707,3038) = 2147866 / 7

LCM(707,3038) = 306838


Lets's calculate GCF of 148,1524

2 148, 1524
2 74, 762
37, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306838/4

Therefore the LCM of Fractions 707/148,3038/1524 is 306838/4

Greatest Common Factor of 148,1524 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,1524 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1,2,3,4,6,12,127,254,381,508,762,1524

Greatest Common Factor

We found the factors 148,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 148,1524 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 707/148, 3038/1524

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 707/148, 3038/1524?

Answer: LCM of Numerators as per given numbers 707/148, 3038/1524 is

LCM of Numerators i.e. for 707,3038 is 306838

GCF of denominators i.e. for 148,1524 is 4.

Thus, LCM of Fractions is 306838/4.Finally, LCM of Fractions for 707/148, 3038/1524 is 306838/4.