Least Common Multiple of 55/749, 625/884, 639/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/749, 625/884, 639/919 quickly i.e. 4393125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/749, 625/884, 639/919 is 4393125.

LCM(55/749, 625/884, 639/919) = 4393125

LCM of 55/749, 625/884, 639/919

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 55/749,625/884,639/919

Given numbers are 55/749,625/884,639/919

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 55,625,639

Least Common Multiple of Numerators i.e. LCM of 55,625,639 is 4393125.

GCF of Denominators means GCF of 749,884,919 as per the given fractions.

GCF of 749,884,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,625,639

LCM of Fractions 55/749,625/884,639/919 is 4393125

5 55, 625, 639
11, 125, 639

∴ So the LCM of the given numbers is 5 x 11 x 125 x 639 = 4393125

Least Common Multiple of 55,625,639 with GCF Formula

Least Common Multiple of 55,625,639 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 55,625,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,625,639) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,625,639) x common factors =1 x 5 = 5

LCM(55,625,639) = ( 55 × 625 × 639 ) / 5

LCM(55,625,639) = 21965625 / 5

LCM(55,625,639) = 4393125


Lets's calculate GCF of 749,884,919

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4393125/1

Therefore the LCM of Fractions 55/749,625/884,639/919 is 4393125

Greatest Common Factor of 749,884,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,884,919 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 749,884,919 . The biggest common factor number is the GCF number.
So the greatest common factor 749,884,919 is 1.


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 55/749, 625/884, 639/919

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 55/749, 625/884, 639/919?

Answer: LCM of Numerators as per given numbers 55/749, 625/884, 639/919 is

LCM of Numerators i.e. for 55,625,639 is 4393125

GCF of denominators i.e. for 749,884,919 is 1.

Thus, LCM of Fractions is 4393125.Finally, LCM of Fractions for 55/749, 625/884, 639/919 is 4393125.