Least Common Multiple of 74/392, 334/814, 740/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/392, 334/814, 740/370 quickly i.e. 61790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/392, 334/814, 740/370 is 61790.

LCM(74/392, 334/814, 740/370) = 61790

LCM of 74/392, 334/814, 740/370

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 74/392,334/814,740/370

Given numbers are 74/392,334/814,740/370

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 74,334,740

Least Common Multiple of Numerators i.e. LCM of 74,334,740 is 123580.

GCF of Denominators means GCF of 392,814,370 as per the given fractions.

GCF of 392,814,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,334,740

LCM of Fractions 74/392,334/814,740/370 is 61790

2 74, 334, 740
37 37, 167, 370
1, 167, 10

∴ So the LCM of the given numbers is 2 x 37 x 1 x 167 x 10 = 123580

Least Common Multiple of 74,334,740 with GCF Formula

Least Common Multiple of 74,334,740 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 74,334,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,334,740) = 2

common factors(in case of two or more numbers have common factors) = 74

GCF(74,334,740) x common factors =2 x 74 = 148

LCM(74,334,740) = ( 74 × 334 × 740 ) / 148

LCM(74,334,740) = 18289840 / 148

LCM(74,334,740) = 123580


Lets's calculate GCF of 392,814,370

2 392, 814, 370
196, 407, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123580/2

Therefore the LCM of Fractions 74/392,334/814,740/370 is 61790

Greatest Common Factor of 392,814,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,814,370 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 392,814,370 . The biggest common factor number is the GCF number.
So the greatest common factor 392,814,370 is 2.


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 74/392, 334/814, 740/370

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 74/392, 334/814, 740/370?

Answer: LCM of Numerators as per given numbers 74/392, 334/814, 740/370 is

LCM of Numerators i.e. for 74,334,740 is 123580

GCF of denominators i.e. for 392,814,370 is 2.

Thus, LCM of Fractions is 61790.Finally, LCM of Fractions for 74/392, 334/814, 740/370 is 61790.