Least Common Multiple of 34/662, 39/215, 148/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/662, 39/215, 148/786 quickly i.e. 98124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/662, 39/215, 148/786 is 98124.

LCM(34/662, 39/215, 148/786) = 98124

LCM of 34/662, 39/215, 148/786

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 34/662,39/215,148/786

Given numbers are 34/662,39/215,148/786

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 34,39,148

Least Common Multiple of Numerators i.e. LCM of 34,39,148 is 98124.

GCF of Denominators means GCF of 662,215,786 as per the given fractions.

GCF of 662,215,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,39,148

LCM of Fractions 34/662,39/215,148/786 is 98124

2 34, 39, 148
17, 39, 74

∴ So the LCM of the given numbers is 2 x 17 x 39 x 74 = 98124

Least Common Multiple of 34,39,148 with GCF Formula

Least Common Multiple of 34,39,148 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 34,39,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,39,148) = 1

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

GCF(34,39,148) x common factors =1 x 2 = 2

LCM(34,39,148) = ( 34 × 39 × 148 ) / 2

LCM(34,39,148) = 196248 / 2

LCM(34,39,148) = 98124


Lets's calculate GCF of 662,215,786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98124/1

Therefore the LCM of Fractions 34/662,39/215,148/786 is 98124

Greatest Common Factor of 662,215,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,215,786 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 662,215,786 . The biggest common factor number is the GCF number.
So the greatest common factor 662,215,786 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/662, 39/215, 148/786

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 34/662, 39/215, 148/786?

Answer: LCM of Numerators as per given numbers 34/662, 39/215, 148/786 is

LCM of Numerators i.e. for 34,39,148 is 98124

GCF of denominators i.e. for 662,215,786 is 1.

Thus, LCM of Fractions is 98124.Finally, LCM of Fractions for 34/662, 39/215, 148/786 is 98124.