Least Common Multiple of 625/674, 9620/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 625/674, 9620/758 quickly i.e. 601250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/674, 9620/758 is 601250.

LCM(625/674, 9620/758) = 601250

LCM of 625/674, 9620/758

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 625/674,9620/758

Given numbers are 625/674,9620/758

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 625,9620

Least Common Multiple of Numerators i.e. LCM of 625,9620 is 1202500.

GCF of Denominators means GCF of 674,758 as per the given fractions.

GCF of 674,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,9620

LCM of Fractions 625/674,9620/758 is 601250

5 625, 9620
125, 1924

∴ So the LCM of the given numbers is 5 x 125 x 1924 = 1202500

Least Common Multiple of 625,9620 with GCF Formula

Least Common Multiple of 625,9620 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 625,9620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,9620) = 5

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

GCF(625,9620) x common factors =5 x 1 = 5

LCM(625,9620) = ( 625 × 9620 ) / 5

LCM(625,9620) = 6012500 / 5

LCM(625,9620) = 1202500


Lets's calculate GCF of 674,758

2 674, 758
337, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202500/2

Therefore the LCM of Fractions 625/674,9620/758 is 601250

Greatest Common Factor of 674,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,758 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 674,758 . The biggest common factor number is the GCF number.
So the greatest common factor 674,758 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 625/674, 9620/758

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 625/674, 9620/758?

Answer: LCM of Numerators as per given numbers 625/674, 9620/758 is

LCM of Numerators i.e. for 625,9620 is 1202500

GCF of denominators i.e. for 674,758 is 2.

Thus, LCM of Fractions is 601250.Finally, LCM of Fractions for 625/674, 9620/758 is 601250.