Least Common Multiple of 88/648, 175/423, 634/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/648, 175/423, 634/614 quickly i.e. 4881800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/648, 175/423, 634/614 is 4881800.

LCM(88/648, 175/423, 634/614) = 4881800

LCM of 88/648, 175/423, 634/614

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 88/648,175/423,634/614

Given numbers are 88/648,175/423,634/614

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 88,175,634

Least Common Multiple of Numerators i.e. LCM of 88,175,634 is 4881800.

GCF of Denominators means GCF of 648,423,614 as per the given fractions.

GCF of 648,423,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,175,634

LCM of Fractions 88/648,175/423,634/614 is 4881800

2 88, 175, 634
44, 175, 317

∴ So the LCM of the given numbers is 2 x 44 x 175 x 317 = 4881800

Least Common Multiple of 88,175,634 with GCF Formula

Least Common Multiple of 88,175,634 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 88,175,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,175,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,175,634) x common factors =1 x 2 = 2

LCM(88,175,634) = ( 88 × 175 × 634 ) / 2

LCM(88,175,634) = 9763600 / 2

LCM(88,175,634) = 4881800


Lets's calculate GCF of 648,423,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4881800/1

Therefore the LCM of Fractions 88/648,175/423,634/614 is 4881800

Greatest Common Factor of 648,423,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,423,614 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 648,423,614 . The biggest common factor number is the GCF number.
So the greatest common factor 648,423,614 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/648, 175/423, 634/614

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 88/648, 175/423, 634/614?

Answer: LCM of Numerators as per given numbers 88/648, 175/423, 634/614 is

LCM of Numerators i.e. for 88,175,634 is 4881800

GCF of denominators i.e. for 648,423,614 is 1.

Thus, LCM of Fractions is 4881800.Finally, LCM of Fractions for 88/648, 175/423, 634/614 is 4881800.