Least Common Multiple of 734/702, 330/931, 444/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 734/702, 330/931, 444/646 quickly i.e. 8962140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/702, 330/931, 444/646 is 8962140.

LCM(734/702, 330/931, 444/646) = 8962140

LCM of 734/702, 330/931, 444/646

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 734/702,330/931,444/646

Given numbers are 734/702,330/931,444/646

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 734,330,444

Least Common Multiple of Numerators i.e. LCM of 734,330,444 is 8962140.

GCF of Denominators means GCF of 702,931,646 as per the given fractions.

GCF of 702,931,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,330,444

LCM of Fractions 734/702,330/931,444/646 is 8962140

2 734, 330, 444
3 367, 165, 222
367, 55, 74

∴ So the LCM of the given numbers is 2 x 3 x 367 x 55 x 74 = 8962140

Least Common Multiple of 734,330,444 with GCF Formula

Least Common Multiple of 734,330,444 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 734,330,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,330,444) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(734,330,444) x common factors =2 x 6 = 12

LCM(734,330,444) = ( 734 × 330 × 444 ) / 12

LCM(734,330,444) = 107545680 / 12

LCM(734,330,444) = 8962140


Lets's calculate GCF of 702,931,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8962140/1

Therefore the LCM of Fractions 734/702,330/931,444/646 is 8962140

Greatest Common Factor of 702,931,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,931,646 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 702,931,646 . The biggest common factor number is the GCF number.
So the greatest common factor 702,931,646 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 734/702, 330/931, 444/646

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 734/702, 330/931, 444/646?

Answer: LCM of Numerators as per given numbers 734/702, 330/931, 444/646 is

LCM of Numerators i.e. for 734,330,444 is 8962140

GCF of denominators i.e. for 702,931,646 is 1.

Thus, LCM of Fractions is 8962140.Finally, LCM of Fractions for 734/702, 330/931, 444/646 is 8962140.