Least Common Multiple of 94/702, 580/918, 114/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/702, 580/918, 114/579 quickly i.e. 517940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/702, 580/918, 114/579 is 517940.

LCM(94/702, 580/918, 114/579) = 517940

LCM of 94/702, 580/918, 114/579

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 94/702,580/918,114/579

Given numbers are 94/702,580/918,114/579

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 94,580,114

Least Common Multiple of Numerators i.e. LCM of 94,580,114 is 1553820.

GCF of Denominators means GCF of 702,918,579 as per the given fractions.

GCF of 702,918,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,580,114

LCM of Fractions 94/702,580/918,114/579 is 517940

2 94, 580, 114
47, 290, 57

∴ So the LCM of the given numbers is 2 x 47 x 290 x 57 = 1553820

Least Common Multiple of 94,580,114 with GCF Formula

Least Common Multiple of 94,580,114 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 94,580,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,580,114) = 2

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

GCF(94,580,114) x common factors =2 x 2 = 4

LCM(94,580,114) = ( 94 × 580 × 114 ) / 4

LCM(94,580,114) = 6215280 / 4

LCM(94,580,114) = 1553820


Lets's calculate GCF of 702,918,579

3 702, 918, 579
234, 306, 193

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1553820/3

Therefore the LCM of Fractions 94/702,580/918,114/579 is 517940

Greatest Common Factor of 702,918,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,918,579 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 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 702,918,579 . The biggest common factor number is the GCF number.
So the greatest common factor 702,918,579 is 3.


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 94/702, 580/918, 114/579

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 94/702, 580/918, 114/579?

Answer: LCM of Numerators as per given numbers 94/702, 580/918, 114/579 is

LCM of Numerators i.e. for 94,580,114 is 1553820

GCF of denominators i.e. for 702,918,579 is 3.

Thus, LCM of Fractions is 517940.Finally, LCM of Fractions for 94/702, 580/918, 114/579 is 517940.