Least Common Multiple of 56/162, 248/950, 745/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/162, 248/950, 745/602 quickly i.e. 646660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/162, 248/950, 745/602 is 646660.

LCM(56/162, 248/950, 745/602) = 646660

LCM of 56/162, 248/950, 745/602

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 56/162,248/950,745/602

Given numbers are 56/162,248/950,745/602

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 56,248,745

Least Common Multiple of Numerators i.e. LCM of 56,248,745 is 1293320.

GCF of Denominators means GCF of 162,950,602 as per the given fractions.

GCF of 162,950,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,248,745

LCM of Fractions 56/162,248/950,745/602 is 646660

2 56, 248, 745
2 28, 124, 745
2 14, 62, 745
7, 31, 745

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 31 x 745 = 1293320

Least Common Multiple of 56,248,745 with GCF Formula

Least Common Multiple of 56,248,745 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 56,248,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,248,745) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,248,745) x common factors =1 x 8 = 8

LCM(56,248,745) = ( 56 × 248 × 745 ) / 8

LCM(56,248,745) = 10346560 / 8

LCM(56,248,745) = 1293320


Lets's calculate GCF of 162,950,602

2 162, 950, 602
81, 475, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1293320/2

Therefore the LCM of Fractions 56/162,248/950,745/602 is 646660

Greatest Common Factor of 162,950,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,950,602 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 162,950,602 . The biggest common factor number is the GCF number.
So the greatest common factor 162,950,602 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/162, 248/950, 745/602

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 56/162, 248/950, 745/602?

Answer: LCM of Numerators as per given numbers 56/162, 248/950, 745/602 is

LCM of Numerators i.e. for 56,248,745 is 1293320

GCF of denominators i.e. for 162,950,602 is 2.

Thus, LCM of Fractions is 646660.Finally, LCM of Fractions for 56/162, 248/950, 745/602 is 646660.